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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Table of 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