Representation Theory and Geometry of the Flag Variety / / William M. McGovern.

This comprehensive reference begins with a review of the basics followed by a presentation of flag varieties and finite- and infinite-dimensional representations in classical types and subvarieties of flag varieties and their singularities. Associated varieties and characteristic cycles are covered...

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Superior document:Title is part of eBook package: De Gruyter DG Plus DeG Package 2022 Part 1
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Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2022]
©2022
Year of Publication:2022
Language:English
Series:De Gruyter Studies in Mathematics , 90
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Physical Description:1 online resource (VIII, 128 p.)
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lccn 2022944915
ctrlnum (DE-B1597)600288
(OCoLC)1350426683
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spelling McGovern, William M., author. aut http://id.loc.gov/vocabulary/relators/aut
Representation Theory and Geometry of the Flag Variety / William M. McGovern.
Berlin ; Boston : De Gruyter, [2022]
©2022
1 online resource (VIII, 128 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
De Gruyter Studies in Mathematics , 0179-0986 ; 90
Frontmatter -- Preface -- Contents -- 1 Preliminaries -- 2 Polynomial representations and the flag variety -- 3 Associated, characteristic, and orbital varieties -- 4 Singularities of orbit closures -- 5 Kazhdan–Lusztig polynomials and the Hecke algebra -- 6 Lusztig–Vogan polynomials and Harish-Chandra modules -- 7 Pattern avoidance and singularities of orbit closures -- 8 Springer fibers -- Bibliography -- Index
restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star
This comprehensive reference begins with a review of the basics followed by a presentation of flag varieties and finite- and infinite-dimensional representations in classical types and subvarieties of flag varieties and their singularities. Associated varieties and characteristic cycles are covered as well and Kazhdan-Lusztig polynomials are treated. The coverage concludes with a discussion of pattern avoidance and singularities and some recent results on Springer fibers.
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 29. Mai 2023)
Flag manifolds.
Representations of algebras.
Darstellungstheorie.
Geometrie.
Vektorräume.
lineare Transformationen.
MATHEMATICS / Algebra / General. bisacsh
Polynomial representations, orbital varieties, Kazhdan–Lusztig polynomials, Hecke algebra, Lusztig–Vogan polynomials, pattern avoidance.
Title is part of eBook package: De Gruyter DG Plus DeG Package 2022 Part 1 9783110766820
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2022 English 9783110993899
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2022 9783110994810 ZDB-23-DGG
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2022 English 9783110993868
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2022 9783110770445 ZDB-23-DMA
EPUB 9783110766967
print 9783110766905
https://doi.org/10.1515/9783110766943
https://www.degruyter.com/isbn/9783110766943
Cover https://www.degruyter.com/document/cover/isbn/9783110766943/original
language English
format eBook
author McGovern, William M.,
McGovern, William M.,
spellingShingle McGovern, William M.,
McGovern, William M.,
Representation Theory and Geometry of the Flag Variety /
De Gruyter Studies in Mathematics ,
Frontmatter --
Preface --
Contents --
1 Preliminaries --
2 Polynomial representations and the flag variety --
3 Associated, characteristic, and orbital varieties --
4 Singularities of orbit closures --
5 Kazhdan–Lusztig polynomials and the Hecke algebra --
6 Lusztig–Vogan polynomials and Harish-Chandra modules --
7 Pattern avoidance and singularities of orbit closures --
8 Springer fibers --
Bibliography --
Index
author_facet McGovern, William M.,
McGovern, William M.,
author_variant w m m wm wmm
w m m wm wmm
author_role VerfasserIn
VerfasserIn
author_sort McGovern, William M.,
title Representation Theory and Geometry of the Flag Variety /
title_full Representation Theory and Geometry of the Flag Variety / William M. McGovern.
title_fullStr Representation Theory and Geometry of the Flag Variety / William M. McGovern.
title_full_unstemmed Representation Theory and Geometry of the Flag Variety / William M. McGovern.
title_auth Representation Theory and Geometry of the Flag Variety /
title_alt Frontmatter --
Preface --
Contents --
1 Preliminaries --
2 Polynomial representations and the flag variety --
3 Associated, characteristic, and orbital varieties --
4 Singularities of orbit closures --
5 Kazhdan–Lusztig polynomials and the Hecke algebra --
6 Lusztig–Vogan polynomials and Harish-Chandra modules --
7 Pattern avoidance and singularities of orbit closures --
8 Springer fibers --
Bibliography --
Index
title_new Representation Theory and Geometry of the Flag Variety /
title_sort representation theory and geometry of the flag variety /
series De Gruyter Studies in Mathematics ,
series2 De Gruyter Studies in Mathematics ,
publisher De Gruyter,
publishDate 2022
physical 1 online resource (VIII, 128 p.)
Issued also in print.
contents Frontmatter --
Preface --
Contents --
1 Preliminaries --
2 Polynomial representations and the flag variety --
3 Associated, characteristic, and orbital varieties --
4 Singularities of orbit closures --
5 Kazhdan–Lusztig polynomials and the Hecke algebra --
6 Lusztig–Vogan polynomials and Harish-Chandra modules --
7 Pattern avoidance and singularities of orbit closures --
8 Springer fibers --
Bibliography --
Index
isbn 9783110766943
9783110766820
9783110993899
9783110994810
9783110993868
9783110770445
9783110766967
9783110766905
issn 0179-0986 ;
callnumber-first Q - Science
callnumber-subject QA - Mathematics
callnumber-label QA564
callnumber-sort QA 3564 M385 42023
url https://doi.org/10.1515/9783110766943
https://www.degruyter.com/isbn/9783110766943
https://www.degruyter.com/document/cover/isbn/9783110766943/original
illustrated Not Illustrated
doi_str_mv 10.1515/9783110766943
oclc_num 1350426683
work_keys_str_mv AT mcgovernwilliamm representationtheoryandgeometryoftheflagvariety
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hierarchy_parent_title Title is part of eBook package: De Gruyter DG Plus DeG Package 2022 Part 1
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2022 English
Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2022
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2022 English
Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2022
is_hierarchy_title Representation Theory and Geometry of the Flag Variety /
container_title Title is part of eBook package: De Gruyter DG Plus DeG Package 2022 Part 1
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