Representation theory and geometry of the flag variety

書誌事項

Representation theory and geometry of the flag variety

William M. McGovern

(De Gruyter studies in mathematics, v. 90)

De Gruyter, c2023

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注記

Includes bibliographical references (p. [115]-121) and index

内容説明・目次

内容説明

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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