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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Format: | Article |
Language: | English |
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Discrete Mathematics & Theoretical Computer Science
2011-01-01
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Series: | Discrete Mathematics & Theoretical Computer Science |
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Online Access: | https://dmtcs.episciences.org/2963/pdf |