Representation Theory and Geometry of the Flag Variety
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Beschreibung
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.
Autor*in
William M. McGovern
Themen in »Representation Theory and Geometry of the Flag Variety«
Darstellungstheorie lineare Transformationen Vektorräume Geometrie Polynomial representations orbital varieties Kazhdan–Lusztig polynomials Hecke algebra Lusztig–Vogan polynomials pattern avoidance