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
Online Access:
Physical Description:1 online resource (VIII, 128 p.)
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245 1 0 |a Representation Theory and Geometry of the Flag Variety /  |c William M. McGovern. 
264 1 |a Berlin ;  |a Boston :   |b De Gruyter,   |c [2022] 
264 4 |c ©2022 
300 |a 1 online resource (VIII, 128 p.) 
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490 0 |a De Gruyter Studies in Mathematics ,  |x 0179-0986 ;  |v 90 
505 0 0 |t Frontmatter --   |t Preface --   |t Contents --   |t 1 Preliminaries --   |t 2 Polynomial representations and the flag variety --   |t 3 Associated, characteristic, and orbital varieties --   |t 4 Singularities of orbit closures --   |t 5 Kazhdan–Lusztig polynomials and the Hecke algebra --   |t 6 Lusztig–Vogan polynomials and Harish-Chandra modules --   |t 7 Pattern avoidance and singularities of orbit closures --   |t 8 Springer fibers --   |t Bibliography --   |t Index 
506 0 |a restricted access  |u http://purl.org/coar/access_right/c_16ec  |f online access with authorization  |2 star 
520 |a 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. 
530 |a Issued also in print. 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 29. Mai 2023) 
650 0 |a Flag manifolds. 
650 0 |a Representations of algebras. 
650 4 |a Darstellungstheorie. 
650 4 |a Geometrie. 
650 4 |a Vektorräume. 
650 4 |a lineare Transformationen. 
650 7 |a MATHEMATICS / Algebra / General.  |2 bisacsh 
653 |a Polynomial representations, orbital varieties, Kazhdan–Lusztig polynomials, Hecke algebra, Lusztig–Vogan polynomials, pattern avoidance. 
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