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Representation Theory and Geometry of the Flag Variety (De Gruyter Studies in Mathematics, 90) - Hardcover

McGovern, William M.

 
9783110766905: Representation Theory and Geometry of the Flag Variety (De Gruyter Studies in Mathematics, 90)

Inhaltsangabe

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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Über die Autorin bzw. den Autor

William M. McGovern, University of Washington, USA.

Von der hinteren Coverseite

This comprehensive reference begins with a review of the basics followed by a presentation of flag varieties and finite-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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