Identical Relations in Lie Algebras /

Identical Relations in Lie Algebras / / Yuri Bahturin.

This updated edition of a classic title studies identical relations in Lie algebras and also in other classes of algebras, a theory with over 40 years of development in which new methods and connections with other areas of mathematics have arisen. New topics covered include graded identities, identi...

Full description

Saved in:
Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Ebook Package English 2021
VerfasserIn:
Bahturin, Yuri,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2021]
©2021
Year of Publication:2021
Language:English
Series:De Gruyter Expositions in Mathematics , 68
Online Access:
Physical Description:1 online resource (XXVI, 516 p.)
Tags: Add Tag
No Tags, Be the first to tag this record!
id 9783110566659
ctrlnum (DE-B1597)488190
(OCoLC)1266229095
collection bib_alma
record_format marc
spelling Bahturin, Yuri, author. aut http://id.loc.gov/vocabulary/relators/aut
Identical Relations in Lie Algebras / Yuri Bahturin.
Berlin ; Boston : De Gruyter, [2021]
©2021
1 online resource (XXVI, 516 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
De Gruyter Expositions in Mathematics , 0938-6572 ; 68
Frontmatter -- Preface to the second edition -- Preface to the first edition -- Contents -- 1 Basic theory of Lie algebras -- 2 Free Lie algebras -- 3 Homogeneous structure of free Lie algebras -- 4 Varieties of Lie algebras -- 5 Finite basis problem -- 6 Special Lie algebras: structure, identities, and applications -- 7 Identities in finite Lie algebras -- 8 Applications to group theory -- 9 Codimension growth -- 10 Subalgebra growth in free Lie algebras -- 11 Identities of graded Lie algebras -- 12 Identities of algebras with action of Hopf algebras -- 13 Engel Lie algebras -- 14 Miscellaneous topics -- Bibliography -- Subject index -- Index of authors -- Index of notation
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
This updated edition of a classic title studies identical relations in Lie algebras and also in other classes of algebras, a theory with over 40 years of development in which new methods and connections with other areas of mathematics have arisen. New topics covered include graded identities, identities of algebras with actions and coactions of various Hopf algebras, and the representation theory of the symmetric and general linear group.
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)
Algebra.
Darstellungstheorie.
Gruppentheorie.
Identität ‹Mathematik›.
Lie-Algebra.
MATHEMATICS / Algebra / Abstract. bisacsh
Title is part of eBook package: De Gruyter DG Ebook Package English 2021 9783110750720
Title is part of eBook package: De Gruyter DG Plus DeG Package 2021 Part 1 9783110750706
Title is part of eBook package: De Gruyter De Gruyter English eBooks 2020 - UC 9783110659061
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2021 English 9783110754001
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2021 9783110753776 ZDB-23-DGG
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2021 English 9783110754131
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2021 9783110753905 ZDB-23-DMA
EPUB 9783110565706
print 9783110565577
https://doi.org/10.1515/9783110566659
https://www.degruyter.com/isbn/9783110566659
Cover https://www.degruyter.com/document/cover/isbn/9783110566659/original
language English
format eBook
author Bahturin, Yuri,
Bahturin, Yuri,
spellingShingle Bahturin, Yuri,
Bahturin, Yuri,
Identical Relations in Lie Algebras /
De Gruyter Expositions in Mathematics ,
Frontmatter --
Preface to the second edition --
Preface to the first edition --
Contents --
1 Basic theory of Lie algebras --
2 Free Lie algebras --
3 Homogeneous structure of free Lie algebras --
4 Varieties of Lie algebras --
5 Finite basis problem --
6 Special Lie algebras: structure, identities, and applications --
7 Identities in finite Lie algebras --
8 Applications to group theory --
9 Codimension growth --
10 Subalgebra growth in free Lie algebras --
11 Identities of graded Lie algebras --
12 Identities of algebras with action of Hopf algebras --
13 Engel Lie algebras --
14 Miscellaneous topics --
Bibliography --
Subject index --
Index of authors --
Index of notation
author_facet Bahturin, Yuri,
Bahturin, Yuri,
author_variant y b yb
y b yb
author_role VerfasserIn
VerfasserIn
author_sort Bahturin, Yuri,
title Identical Relations in Lie Algebras /
title_full Identical Relations in Lie Algebras / Yuri Bahturin.
title_fullStr Identical Relations in Lie Algebras / Yuri Bahturin.
title_full_unstemmed Identical Relations in Lie Algebras / Yuri Bahturin.
title_auth Identical Relations in Lie Algebras /
title_alt Frontmatter --
Preface to the second edition --
Preface to the first edition --
Contents --
1 Basic theory of Lie algebras --
2 Free Lie algebras --
3 Homogeneous structure of free Lie algebras --
4 Varieties of Lie algebras --
5 Finite basis problem --
6 Special Lie algebras: structure, identities, and applications --
7 Identities in finite Lie algebras --
8 Applications to group theory --
9 Codimension growth --
10 Subalgebra growth in free Lie algebras --
11 Identities of graded Lie algebras --
12 Identities of algebras with action of Hopf algebras --
13 Engel Lie algebras --
14 Miscellaneous topics --
Bibliography --
Subject index --
Index of authors --
Index of notation
title_new Identical Relations in Lie Algebras /
title_sort identical relations in lie algebras /
series De Gruyter Expositions in Mathematics ,
series2 De Gruyter Expositions in Mathematics ,
publisher De Gruyter,
publishDate 2021
physical 1 online resource (XXVI, 516 p.)
Issued also in print.
contents Frontmatter --
Preface to the second edition --
Preface to the first edition --
Contents --
1 Basic theory of Lie algebras --
2 Free Lie algebras --
3 Homogeneous structure of free Lie algebras --
4 Varieties of Lie algebras --
5 Finite basis problem --
6 Special Lie algebras: structure, identities, and applications --
7 Identities in finite Lie algebras --
8 Applications to group theory --
9 Codimension growth --
10 Subalgebra growth in free Lie algebras --
11 Identities of graded Lie algebras --
12 Identities of algebras with action of Hopf algebras --
13 Engel Lie algebras --
14 Miscellaneous topics --
Bibliography --
Subject index --
Index of authors --
Index of notation
isbn 9783110566659
9783110750720
9783110750706
9783110659061
9783110754001
9783110753776
9783110754131
9783110753905
9783110565706
9783110565577
issn 0938-6572 ;
url https://doi.org/10.1515/9783110566659
https://www.degruyter.com/isbn/9783110566659
https://www.degruyter.com/document/cover/isbn/9783110566659/original
illustrated Not Illustrated
doi_str_mv 10.1515/9783110566659
oclc_num 1266229095
work_keys_str_mv AT bahturinyuri identicalrelationsinliealgebras
status_str n
ids_txt_mv (DE-B1597)488190
(OCoLC)1266229095
carrierType_str_mv cr
hierarchy_parent_title Title is part of eBook package: De Gruyter DG Ebook Package English 2021
Title is part of eBook package: De Gruyter DG Plus DeG Package 2021 Part 1
Title is part of eBook package: De Gruyter De Gruyter English eBooks 2020 - UC
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2021 English
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2021
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2021 English
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2021
is_hierarchy_title Identical Relations in Lie Algebras /
container_title Title is part of eBook package: De Gruyter DG Ebook Package English 2021
_version_ 1806144452505370624
fullrecord <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>04638nam a22008415i 4500</leader><controlfield tag="001">9783110566659</controlfield><controlfield tag="003">DE-B1597</controlfield><controlfield tag="005">20230228123812.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr || ||||||||</controlfield><controlfield tag="008">230228t20212021gw fo d z eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783110566659</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9783110566659</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-B1597)488190</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1266229095</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">MAT002010</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Bahturin, Yuri, </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">Identical Relations in Lie Algebras /</subfield><subfield code="c">Yuri Bahturin.</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">[2021]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">©2021</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (XXVI, 516 p.)</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">68</subfield></datafield><datafield tag="505" ind1="0" ind2="0"><subfield code="t">Frontmatter -- </subfield><subfield code="t">Preface to the second edition -- </subfield><subfield code="t">Preface to the first edition -- </subfield><subfield code="t">Contents -- </subfield><subfield code="t">1 Basic theory of Lie algebras -- </subfield><subfield code="t">2 Free Lie algebras -- </subfield><subfield code="t">3 Homogeneous structure of free Lie algebras -- </subfield><subfield code="t">4 Varieties of Lie algebras -- </subfield><subfield code="t">5 Finite basis problem -- </subfield><subfield code="t">6 Special Lie algebras: structure, identities, and applications -- </subfield><subfield code="t">7 Identities in finite Lie algebras -- </subfield><subfield code="t">8 Applications to group theory -- </subfield><subfield code="t">9 Codimension growth -- </subfield><subfield code="t">10 Subalgebra growth in free Lie algebras -- </subfield><subfield code="t">11 Identities of graded Lie algebras -- </subfield><subfield code="t">12 Identities of algebras with action of Hopf algebras -- </subfield><subfield code="t">13 Engel Lie algebras -- </subfield><subfield code="t">14 Miscellaneous topics -- </subfield><subfield code="t">Bibliography -- </subfield><subfield code="t">Subject index -- </subfield><subfield code="t">Index of authors -- </subfield><subfield code="t">Index of notation</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="520" ind1=" " ind2=" "><subfield code="a">This updated edition of a classic title studies identical relations in Lie algebras and also in other classes of algebras, a theory with over 40 years of development in which new methods and connections with other areas of mathematics have arisen. New topics covered include graded identities, identities of algebras with actions and coactions of various Hopf algebras, and the representation theory of the symmetric and general linear group.</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="4"><subfield code="a">Algebra.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Darstellungstheorie.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Gruppentheorie.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Identität ‹Mathematik›.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Lie-Algebra.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Algebra / Abstract.</subfield><subfield code="2">bisacsh</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 Ebook Package English 2021</subfield><subfield code="z">9783110750720</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 Plus DeG Package 2021 Part 1</subfield><subfield code="z">9783110750706</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">De Gruyter English eBooks 2020 - UC</subfield><subfield code="z">9783110659061</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">EBOOK PACKAGE COMPLETE 2021 English</subfield><subfield code="z">9783110754001</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">EBOOK PACKAGE COMPLETE 2021</subfield><subfield code="z">9783110753776</subfield><subfield code="o">ZDB-23-DGG</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">EBOOK PACKAGE Mathematics 2021 English</subfield><subfield code="z">9783110754131</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">EBOOK PACKAGE Mathematics 2021</subfield><subfield code="z">9783110753905</subfield><subfield code="o">ZDB-23-DMA</subfield></datafield><datafield tag="776" ind1="0" ind2=" "><subfield code="c">EPUB</subfield><subfield code="z">9783110565706</subfield></datafield><datafield tag="776" ind1="0" ind2=" "><subfield code="c">print</subfield><subfield code="z">9783110565577</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/9783110566659</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://www.degruyter.com/isbn/9783110566659</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="3">Cover</subfield><subfield code="u">https://www.degruyter.com/document/cover/isbn/9783110566659/original</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-065906-1 De Gruyter English eBooks 2020 - UC</subfield><subfield code="b">2020</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-075070-6 DG Plus DeG Package 2021 Part 1</subfield><subfield code="b">2021</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-075072-0 DG Ebook Package English 2021</subfield><subfield code="b">2021</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-075400-1 EBOOK PACKAGE COMPLETE 2021 English</subfield><subfield code="b">2021</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-075413-1 EBOOK PACKAGE Mathematics 2021 English</subfield><subfield code="b">2021</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_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-DGG</subfield><subfield code="b">2021</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-23-DMA</subfield><subfield code="b">2021</subfield></datafield></record></collection>

Similar Items