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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Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2022] ©2022 |
Year of Publication: | 2022 |
Language: | English |
Series: | De Gruyter Studies in Mathematics ,
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Physical Description: | 1 online resource (VIII, 128 p.) |
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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 |
status_str |
n |
ids_txt_mv |
(DE-B1597)600288 (OCoLC)1350426683 |
carrierType_str_mv |
cr |
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 |
_version_ |
1806144567584489472 |
fullrecord |
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