Krichever–Novikov Type Algebras : : Theory and Applications /

Krichever–Novikov Type Algebras : : Theory and Applications / / Martin Schlichenmaier.

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Krichever and Novikov introduced certain classes of infinite dimensional Lie algebras to extend the Virasoro algebra and its related algebras to Riemann surfaces of higher genus. The author of this book generalized and extended them to a more general setting needed by the applications. Examples of a...

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Superior document:Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package
VerfasserIn:
Schlichenmaier, Martin,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2014]
©2014
Year of Publication:2014
Language:English
Series:De Gruyter Studies in Mathematics , 53
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Physical Description:1 online resource (360 p.)
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(OCoLC)890070954
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spelling Schlichenmaier, Martin, author. aut http://id.loc.gov/vocabulary/relators/aut
Krichever–Novikov Type Algebras : Theory and Applications / Martin Schlichenmaier.
Berlin ; Boston : De Gruyter, [2014]
©2014
1 online resource (360 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
De Gruyter Studies in Mathematics , 0179-0986 ; 53
Frontmatter -- Preface -- Contents -- 1. Some background on Lie algebras -- 2. The higher genus algebras -- 3. The almost-grading -- 4. Fixing the basis elements -- 5. Explicit expressions for a system of generators -- 6. Central extensions of Krichever–Novikov type algebras -- 7. Semi-infinite wedge forms and fermionic Fock space representations -- 8. b − c systems -- 9. Affine algebras -- 10. The Sugawara construction -- 11. Wess–Zumino–Novikov–Witten models and Knizhnik–Zamolodchikov connection -- 12. Degenerations and deformations -- 13. Lax operator algebras -- 14. Some related developments -- Bibliography -- Index
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
Krichever and Novikov introduced certain classes of infinite dimensional Lie algebras to extend the Virasoro algebra and its related algebras to Riemann surfaces of higher genus. The author of this book generalized and extended them to a more general setting needed by the applications. Examples of applications are Conformal Field Theory, Wess-Zumino-Novikov-Witten models, moduli space problems, integrable systems, Lax operator algebras, and deformation theory of Lie algebra. Furthermore they constitute an important class of infinite dimensional Lie algebras which due to their geometric origin are still manageable. This book gives an introduction for the newcomer to this exciting field of ongoing research in mathematics and will be a valuable source of reference for the experienced researcher. Beside the basic constructions and results also applications are presented.
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)
Infinite dimensional Lie algebras.
Conformal field theory.
Krichever-Novikov.
Lie algebras.
Moduli spaces.
Riemann surfaces.
MATHEMATICS / Algebra / General. bisacsh
Mathematical physics.
Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package 9783110494938 ZDB-23-GSM
Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1 9783110238570
Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN) 9783110238471
Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014 9783110637205 ZDB-23-GMA
Title is part of eBook package: De Gruyter EBOOK PACKAGE Complete Package 2014 9783110369526 ZDB-23-DGG
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics, Physics 2014 9783110370355 ZDB-23-DEM
EPUB 9783110381474
print 9783110265170
https://doi.org/10.1515/9783110279641
https://www.degruyter.com/isbn/9783110279641
Cover https://www.degruyter.com/document/cover/isbn/9783110279641/original
language English
format eBook
author Schlichenmaier, Martin,
Schlichenmaier, Martin,
spellingShingle Schlichenmaier, Martin,
Schlichenmaier, Martin,
Krichever–Novikov Type Algebras : Theory and Applications /
De Gruyter Studies in Mathematics ,
Frontmatter --
Preface --
Contents --
1. Some background on Lie algebras --
2. The higher genus algebras --
3. The almost-grading --
4. Fixing the basis elements --
5. Explicit expressions for a system of generators --
6. Central extensions of Krichever–Novikov type algebras --
7. Semi-infinite wedge forms and fermionic Fock space representations --
8. b − c systems --
9. Affine algebras --
10. The Sugawara construction --
11. Wess–Zumino–Novikov–Witten models and Knizhnik–Zamolodchikov connection --
12. Degenerations and deformations --
13. Lax operator algebras --
14. Some related developments --
Bibliography --
Index
author_facet Schlichenmaier, Martin,
Schlichenmaier, Martin,
author_variant m s ms
m s ms
author_role VerfasserIn
VerfasserIn
author_sort Schlichenmaier, Martin,
title Krichever–Novikov Type Algebras : Theory and Applications /
title_sub Theory and Applications /
title_full Krichever–Novikov Type Algebras : Theory and Applications / Martin Schlichenmaier.
title_fullStr Krichever–Novikov Type Algebras : Theory and Applications / Martin Schlichenmaier.
title_full_unstemmed Krichever–Novikov Type Algebras : Theory and Applications / Martin Schlichenmaier.
title_auth Krichever–Novikov Type Algebras : Theory and Applications /
title_alt Frontmatter --
Preface --
Contents --
1. Some background on Lie algebras --
2. The higher genus algebras --
3. The almost-grading --
4. Fixing the basis elements --
5. Explicit expressions for a system of generators --
6. Central extensions of Krichever–Novikov type algebras --
7. Semi-infinite wedge forms and fermionic Fock space representations --
8. b − c systems --
9. Affine algebras --
10. The Sugawara construction --
11. Wess–Zumino–Novikov–Witten models and Knizhnik–Zamolodchikov connection --
12. Degenerations and deformations --
13. Lax operator algebras --
14. Some related developments --
Bibliography --
Index
title_new Krichever–Novikov Type Algebras :
title_sort krichever–novikov type algebras : theory and applications /
series De Gruyter Studies in Mathematics ,
series2 De Gruyter Studies in Mathematics ,
publisher De Gruyter,
publishDate 2014
physical 1 online resource (360 p.)
Issued also in print.
contents Frontmatter --
Preface --
Contents --
1. Some background on Lie algebras --
2. The higher genus algebras --
3. The almost-grading --
4. Fixing the basis elements --
5. Explicit expressions for a system of generators --
6. Central extensions of Krichever–Novikov type algebras --
7. Semi-infinite wedge forms and fermionic Fock space representations --
8. b − c systems --
9. Affine algebras --
10. The Sugawara construction --
11. Wess–Zumino–Novikov–Witten models and Knizhnik–Zamolodchikov connection --
12. Degenerations and deformations --
13. Lax operator algebras --
14. Some related developments --
Bibliography --
Index
isbn 9783110279641
9783110494938
9783110238570
9783110238471
9783110637205
9783110369526
9783110370355
9783110381474
9783110265170
issn 0179-0986 ;
callnumber-first Q - Science
callnumber-subject QA - Mathematics
callnumber-label QA252
callnumber-sort QA 3252.3
url https://doi.org/10.1515/9783110279641
https://www.degruyter.com/isbn/9783110279641
https://www.degruyter.com/document/cover/isbn/9783110279641/original
illustrated Not Illustrated
dewey-hundreds 500 - Science
dewey-tens 510 - Mathematics
dewey-ones 512 - Algebra
dewey-full 512.482
dewey-sort 3512.482
dewey-raw 512.482
dewey-search 512.482
doi_str_mv 10.1515/9783110279641
oclc_num 890070954
work_keys_str_mv AT schlichenmaiermartin krichevernovikovtypealgebrastheoryandapplications
status_str n
ids_txt_mv (DE-B1597)175427
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carrierType_str_mv cr
hierarchy_parent_title Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package
Title is part of eBook package: De Gruyter DGBA Backlist Complete English Language 2000-2014 PART1
Title is part of eBook package: De Gruyter DGBA Backlist Mathematics 2000-2014 (EN)
Title is part of eBook package: De Gruyter DGBA Mathematics - 2000 - 2014
Title is part of eBook package: De Gruyter EBOOK PACKAGE Complete Package 2014
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics, Physics 2014
is_hierarchy_title Krichever–Novikov Type Algebras : Theory and Applications /
container_title Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package
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