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

• Superior document: Title is part of eBook package: De Gruyter DG Plus DeG Package 2022 Part 1
• VerfasserIn: McGovern, William M.,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2022]; ©2022
• Year of Publication: 2022
• Language: English
• Series: De Gruyter Studies in Mathematics , 90
• Physical Description: 1 online resource (VIII, 128 p.)
• Other title: 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
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110766943; 9783110766820; 9783110993899; 9783110994810; 9783110993868; 9783110770445
• ISSN: 0179-0986
• DOI: 10.1515/9783110766943
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: 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 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.