Orthogonal Decompositions and Integral Lattices / / Alexei Kostrikin, Pham Huu Tiep.
Saved in:
Superior document: | Title is part of eBook package: De Gruyter DG Expositions in Mathematics Backlist eBook Package |
---|---|
VerfasserIn: | |
Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2011] ©1994 |
Year of Publication: | 2011 |
Edition: | Reprint 2011 |
Language: | English |
Series: | De Gruyter Expositions in Mathematics ,
15 |
Online Access: | |
Physical Description: | 1 online resource (535 p.) :; Num. figs and tabs. |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
id |
9783110901757 |
---|---|
ctrlnum |
(DE-B1597)40032 (OCoLC)979589464 |
collection |
bib_alma |
record_format |
marc |
spelling |
Kostrikin, Alexei, author. aut http://id.loc.gov/vocabulary/relators/aut Orthogonal Decompositions and Integral Lattices / Alexei Kostrikin, Pham Huu Tiep. Reprint 2011 Berlin ; Boston : De Gruyter, [2011] ©1994 1 online resource (535 p.) : Num. figs and tabs. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Expositions in Mathematics , 0938-6572 ; 15 Frontmatter -- Preface -- Introduction -- Part I Orthogonal decompositions of complex simple Lie algebras -- Chapter 1 Type An -- Chapter 2 The types Βn, Cn and Dn -- Chapter 3 Jordan subgroups and orthogonal decompositions -- Chapter 4 Irreducible orthogonal decompositions of Lie algebras with special Coxeter number -- Chapter 5 Classification of irreducible orthogonal decompositions of complex simple Lie algebras of type An -- Chapter 6 Classification of irreducible orthogonal decompositions of complex simple Lie algebras of type Bn -- Chapter 7 Orthogonal decompositions of semisimple associative algebras -- Part II Integral lattices and their automorphism groups -- Chapter 8 Invariant lattices of type G2 and the finite simple group G2(3) -- Chapter 9 Invariant lattices, the Leech lattice and even unimodular analogues of it in Lie algebras of type Ap-1 -- Chapter 10 Invariant lattices of type Apm-1 -- Chapter 11 The types B2m-1 and D2m -- Chapter 12 Invariant lattices of types F4 and E6, and the finite simple groups L4(3) , Ω7(3) , Fi22 -- Chapter 13 Invariant lattices of type E8 and the finite simple groups F3, L4(5) -- Chapter 14 Other lattice constructions -- Appendix -- Bibliography -- Notation -- Author Index -- Subject Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) Lattice theory. Lie algebras. Orthogonal decompositions. Lie-Algebra. Orthogonale Zerlegung. Verband ‹Mathematik›. MATHEMATICS / General. bisacsh Tiep, Pham Huu, author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter DG Expositions in Mathematics Backlist eBook Package 9783110494969 ZDB-23-EXM Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999 9783110637199 ZDB-23-GMA Title is part of eBook package: De Gruyter E-DITION 2: BEST OF MATHEMATICS, PHYSICS 9783110306569 ZDB-23-DBI print 9783110137835 https://doi.org/10.1515/9783110901757 https://www.degruyter.com/isbn/9783110901757 Cover https://www.degruyter.com/document/cover/isbn/9783110901757/original |
language |
English |
format |
eBook |
author |
Kostrikin, Alexei, Kostrikin, Alexei, Tiep, Pham Huu, |
spellingShingle |
Kostrikin, Alexei, Kostrikin, Alexei, Tiep, Pham Huu, Orthogonal Decompositions and Integral Lattices / De Gruyter Expositions in Mathematics , Frontmatter -- Preface -- Introduction -- Part I Orthogonal decompositions of complex simple Lie algebras -- Chapter 1 Type An -- Chapter 2 The types Βn, Cn and Dn -- Chapter 3 Jordan subgroups and orthogonal decompositions -- Chapter 4 Irreducible orthogonal decompositions of Lie algebras with special Coxeter number -- Chapter 5 Classification of irreducible orthogonal decompositions of complex simple Lie algebras of type An -- Chapter 6 Classification of irreducible orthogonal decompositions of complex simple Lie algebras of type Bn -- Chapter 7 Orthogonal decompositions of semisimple associative algebras -- Part II Integral lattices and their automorphism groups -- Chapter 8 Invariant lattices of type G2 and the finite simple group G2(3) -- Chapter 9 Invariant lattices, the Leech lattice and even unimodular analogues of it in Lie algebras of type Ap-1 -- Chapter 10 Invariant lattices of type Apm-1 -- Chapter 11 The types B2m-1 and D2m -- Chapter 12 Invariant lattices of types F4 and E6, and the finite simple groups L4(3) , Ω7(3) , Fi22 -- Chapter 13 Invariant lattices of type E8 and the finite simple groups F3, L4(5) -- Chapter 14 Other lattice constructions -- Appendix -- Bibliography -- Notation -- Author Index -- Subject Index |
author_facet |
Kostrikin, Alexei, Kostrikin, Alexei, Tiep, Pham Huu, Tiep, Pham Huu, Tiep, Pham Huu, |
author_variant |
a k ak a k ak p h t ph pht |
author_role |
VerfasserIn VerfasserIn VerfasserIn |
author2 |
Tiep, Pham Huu, Tiep, Pham Huu, |
author2_variant |
p h t ph pht |
author2_role |
VerfasserIn VerfasserIn |
author_sort |
Kostrikin, Alexei, |
title |
Orthogonal Decompositions and Integral Lattices / |
title_full |
Orthogonal Decompositions and Integral Lattices / Alexei Kostrikin, Pham Huu Tiep. |
title_fullStr |
Orthogonal Decompositions and Integral Lattices / Alexei Kostrikin, Pham Huu Tiep. |
title_full_unstemmed |
Orthogonal Decompositions and Integral Lattices / Alexei Kostrikin, Pham Huu Tiep. |
title_auth |
Orthogonal Decompositions and Integral Lattices / |
title_alt |
Frontmatter -- Preface -- Introduction -- Part I Orthogonal decompositions of complex simple Lie algebras -- Chapter 1 Type An -- Chapter 2 The types Βn, Cn and Dn -- Chapter 3 Jordan subgroups and orthogonal decompositions -- Chapter 4 Irreducible orthogonal decompositions of Lie algebras with special Coxeter number -- Chapter 5 Classification of irreducible orthogonal decompositions of complex simple Lie algebras of type An -- Chapter 6 Classification of irreducible orthogonal decompositions of complex simple Lie algebras of type Bn -- Chapter 7 Orthogonal decompositions of semisimple associative algebras -- Part II Integral lattices and their automorphism groups -- Chapter 8 Invariant lattices of type G2 and the finite simple group G2(3) -- Chapter 9 Invariant lattices, the Leech lattice and even unimodular analogues of it in Lie algebras of type Ap-1 -- Chapter 10 Invariant lattices of type Apm-1 -- Chapter 11 The types B2m-1 and D2m -- Chapter 12 Invariant lattices of types F4 and E6, and the finite simple groups L4(3) , Ω7(3) , Fi22 -- Chapter 13 Invariant lattices of type E8 and the finite simple groups F3, L4(5) -- Chapter 14 Other lattice constructions -- Appendix -- Bibliography -- Notation -- Author Index -- Subject Index |
title_new |
Orthogonal Decompositions and Integral Lattices / |
title_sort |
orthogonal decompositions and integral lattices / |
series |
De Gruyter Expositions in Mathematics , |
series2 |
De Gruyter Expositions in Mathematics , |
publisher |
De Gruyter, |
publishDate |
2011 |
physical |
1 online resource (535 p.) : Num. figs and tabs. Issued also in print. |
edition |
Reprint 2011 |
contents |
Frontmatter -- Preface -- Introduction -- Part I Orthogonal decompositions of complex simple Lie algebras -- Chapter 1 Type An -- Chapter 2 The types Βn, Cn and Dn -- Chapter 3 Jordan subgroups and orthogonal decompositions -- Chapter 4 Irreducible orthogonal decompositions of Lie algebras with special Coxeter number -- Chapter 5 Classification of irreducible orthogonal decompositions of complex simple Lie algebras of type An -- Chapter 6 Classification of irreducible orthogonal decompositions of complex simple Lie algebras of type Bn -- Chapter 7 Orthogonal decompositions of semisimple associative algebras -- Part II Integral lattices and their automorphism groups -- Chapter 8 Invariant lattices of type G2 and the finite simple group G2(3) -- Chapter 9 Invariant lattices, the Leech lattice and even unimodular analogues of it in Lie algebras of type Ap-1 -- Chapter 10 Invariant lattices of type Apm-1 -- Chapter 11 The types B2m-1 and D2m -- Chapter 12 Invariant lattices of types F4 and E6, and the finite simple groups L4(3) , Ω7(3) , Fi22 -- Chapter 13 Invariant lattices of type E8 and the finite simple groups F3, L4(5) -- Chapter 14 Other lattice constructions -- Appendix -- Bibliography -- Notation -- Author Index -- Subject Index |
isbn |
9783110901757 9783110494969 9783110637199 9783110306569 9783110137835 |
issn |
0938-6572 ; |
url |
https://doi.org/10.1515/9783110901757 https://www.degruyter.com/isbn/9783110901757 https://www.degruyter.com/document/cover/isbn/9783110901757/original |
illustrated |
Not Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
512 - Algebra |
dewey-full |
512/.55 |
dewey-sort |
3512 255 |
dewey-raw |
512/.55 |
dewey-search |
512/.55 |
doi_str_mv |
10.1515/9783110901757 |
oclc_num |
979589464 |
work_keys_str_mv |
AT kostrikinalexei orthogonaldecompositionsandintegrallattices AT tiepphamhuu orthogonaldecompositionsandintegrallattices |
status_str |
n |
ids_txt_mv |
(DE-B1597)40032 (OCoLC)979589464 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter DG Expositions in Mathematics Backlist eBook Package Title is part of eBook package: De Gruyter DGBA Mathematics - 1990 - 1999 Title is part of eBook package: De Gruyter E-DITION 2: BEST OF MATHEMATICS, PHYSICS |
is_hierarchy_title |
Orthogonal Decompositions and Integral Lattices / |
container_title |
Title is part of eBook package: De Gruyter DG Expositions in Mathematics Backlist eBook Package |
author2_original_writing_str_mv |
noLinkedField noLinkedField |
_version_ |
1806144789600534528 |
fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>04301nam a22008055i 4500</leader><controlfield tag="001">9783110901757</controlfield><controlfield tag="003">DE-B1597</controlfield><controlfield tag="005">20230228015514.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr || ||||||||</controlfield><controlfield tag="008">230228t20111994gw fo d z eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783110901757</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9783110901757</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-B1597)40032</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)979589464</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-B1597</subfield><subfield code="b">eng</subfield><subfield code="c">DE-B1597</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">gw</subfield><subfield code="c">DE</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT000000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">512/.55</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 340</subfield><subfield code="2">rvk</subfield><subfield code="0">(DE-625)rvk/143232:</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Kostrikin, Alexei, </subfield><subfield code="e">author.</subfield><subfield code="4">aut</subfield><subfield code="4">http://id.loc.gov/vocabulary/relators/aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Orthogonal Decompositions and Integral Lattices /</subfield><subfield code="c">Alexei Kostrikin, Pham Huu Tiep.</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">Reprint 2011</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin ;</subfield><subfield code="a">Boston : </subfield><subfield code="b">De Gruyter, </subfield><subfield code="c">[2011]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">©1994</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (535 p.) :</subfield><subfield code="b">Num. figs and tabs.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="347" ind1=" " ind2=" "><subfield code="a">text file</subfield><subfield code="b">PDF</subfield><subfield code="2">rda</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">De Gruyter Expositions in Mathematics ,</subfield><subfield code="x">0938-6572 ;</subfield><subfield code="v">15</subfield></datafield><datafield tag="505" ind1="0" ind2="0"><subfield code="t">Frontmatter -- </subfield><subfield code="t">Preface -- </subfield><subfield code="t">Introduction -- </subfield><subfield code="t">Part I Orthogonal decompositions of complex simple Lie algebras -- </subfield><subfield code="t">Chapter 1 Type An -- </subfield><subfield code="t">Chapter 2 The types Βn, Cn and Dn -- </subfield><subfield code="t">Chapter 3 Jordan subgroups and orthogonal decompositions -- </subfield><subfield code="t">Chapter 4 Irreducible orthogonal decompositions of Lie algebras with special Coxeter number -- </subfield><subfield code="t">Chapter 5 Classification of irreducible orthogonal decompositions of complex simple Lie algebras of type An -- </subfield><subfield code="t">Chapter 6 Classification of irreducible orthogonal decompositions of complex simple Lie algebras of type Bn -- </subfield><subfield code="t">Chapter 7 Orthogonal decompositions of semisimple associative algebras -- </subfield><subfield code="t">Part II Integral lattices and their automorphism groups -- </subfield><subfield code="t">Chapter 8 Invariant lattices of type G2 and the finite simple group G2(3) -- </subfield><subfield code="t">Chapter 9 Invariant lattices, the Leech lattice and even unimodular analogues of it in Lie algebras of type Ap-1 -- </subfield><subfield code="t">Chapter 10 Invariant lattices of type Apm-1 -- </subfield><subfield code="t">Chapter 11 The types B2m-1 and D2m -- </subfield><subfield code="t">Chapter 12 Invariant lattices of types F4 and E6, and the finite simple groups L4(3) , Ω7(3) , Fi22 -- </subfield><subfield code="t">Chapter 13 Invariant lattices of type E8 and the finite simple groups F3, L4(5) -- </subfield><subfield code="t">Chapter 14 Other lattice constructions -- </subfield><subfield code="t">Appendix -- </subfield><subfield code="t">Bibliography -- </subfield><subfield code="t">Notation -- </subfield><subfield code="t">Author Index -- </subfield><subfield code="t">Subject Index</subfield></datafield><datafield tag="506" ind1="0" ind2=" "><subfield code="a">restricted access</subfield><subfield code="u">http://purl.org/coar/access_right/c_16ec</subfield><subfield code="f">online access with authorization</subfield><subfield code="2">star</subfield></datafield><datafield tag="530" ind1=" " ind2=" "><subfield code="a">Issued also in print.</subfield></datafield><datafield tag="538" ind1=" " ind2=" "><subfield code="a">Mode of access: Internet via World Wide Web.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023)</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Lattice theory.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Lie algebras.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Orthogonal decompositions.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Lie-Algebra.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Orthogonale Zerlegung.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Verband ‹Mathematik›.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / General.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Tiep, Pham Huu, </subfield><subfield code="e">author.</subfield><subfield code="4">aut</subfield><subfield code="4">http://id.loc.gov/vocabulary/relators/aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">DG Expositions in Mathematics Backlist eBook Package</subfield><subfield code="z">9783110494969</subfield><subfield code="o">ZDB-23-EXM</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">DGBA Mathematics - 1990 - 1999</subfield><subfield code="z">9783110637199</subfield><subfield code="o">ZDB-23-GMA</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">E-DITION 2: BEST OF MATHEMATICS, PHYSICS</subfield><subfield code="z">9783110306569</subfield><subfield code="o">ZDB-23-DBI</subfield></datafield><datafield tag="776" ind1="0" ind2=" "><subfield code="c">print</subfield><subfield code="z">9783110137835</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/9783110901757</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://www.degruyter.com/isbn/9783110901757</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="3">Cover</subfield><subfield code="u">https://www.degruyter.com/document/cover/isbn/9783110901757/original</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_BACKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_CL_MTPY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_DGALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EBACKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EBKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_ECL_MTPY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EEBKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_ESTMALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_STMALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV-deGruyter-alles</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA12STME</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA13ENGE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA18STMEE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA5EBK</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-DBI</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-EXM</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-GMA</subfield><subfield code="c">1990</subfield><subfield code="d">1999</subfield></datafield></record></collection> |