Representations on Hessenberg Varieties and Young's Rule

We combinatorially construct the complex cohomology (equivariant and ordinary) of a family of algebraic varieties called regular semisimple Hessenberg varieties. This construction is purely in terms of the Bruhat order on the symmetric group. From this a representation of the symmetric group on the...

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Bibliographic Details
Main Author: Nicholas Teff
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2011-01-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/2963/pdf