TY  - BOOK
AU  - McGovern,William M.
TI  - Representation Theory and Geometry of the Flag Variety
T2  - De Gruyter Studies in Mathematics ,
SN  - 9783110766943
PY  - 2022///]
CY  - Berlin, Boston
PB  - De Gruyter, 
KW  - MATHEMATICS / General
KW  - bisacsh
KW  - MATHEMATICS / Algebra / General
KW  - MATHEMATICS / Algebra / Abstract
KW  - MATHEMATICS / Geometry / General
KW  - MATHEMATICS / Geometry / Algebraic
KW  - Darstellungstheorie
KW  - lineare Transformationen
KW  - Vektorräume
KW  - Geometrie
KW  - Polynomial representations
KW  - orbital varieties
KW  - Kazhdan-Lusztig polynomials
KW  - Hecke algebra
KW  - Lusztig-Vogan polynomials
KW  - pattern avoidance
KW  - Polynomial representations, orbital varieties, Kazhdan-Lusztig polynomials, Hecke algebra, Lusztig-Vogan polynomials, pattern avoidance
N1  - 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; Issued also in print
N2  - 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
UR  - https://www.degruyterbrill.com/isbn/9783110766943
UR  - https://www.degruyterbrill.com/document/cover/isbn/9783110766943/original
ER  -