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

By: Material type: TextLanguage: Series: De Gruyter Studies in Mathematics ; 90Publisher: Berlin Boston De Gruyter, [2022]Copyright date: ©2022Description: 1 online resource (VIII, 128 p.)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9783110766943
Subject(s): Additional physical formats: No title; No titleOnline resources: Available additional physical forms:
  • 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
Title is part of eBook package: DG Plus DeG Package 2022 Part 1 De GruyterTitle is part of eBook package: eBook Package Mathematics 2022 / eBook-Paket Mathematik 2022 De GruyterTitle is part of eBook package: eBook Package Mathematics 2022 English / eBook-Paket Mathematik 2022 Englisch De GruyterTitle is part of eBook package: eBook Package Complete 2022 English / eBook-Paket Gesamt 2022 Englisch De GruyterTitle is part of eBook package: eBook Package Complete 2022 / eBook-Paket Gesamt 2022 De GruyterTitle is part of eBook package: EBOOK PACKAGE Mathematics 2022 DGB - ALL LANG De GruyterTitle is part of eBook package: EBOOK PACKAGE Mathematics 2022 DGB - ENG De GruyterSummary: 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.
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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

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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.

The accessibility of this resources in unknown or unassessed.

Mode of access: Internet via World Wide Web.

William M. McGovern, University of Washington, USA.

In English.

Description based on online resource; title from PDF title page (publisher's Web site, viewed March 03 2026)

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