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Descent Identities, Hessenberg Varieties, and the Weil Conjectures

✍ Scribed by Jason Fulman

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 103 KB
Volume: 87
Category: Article
ISSN: 0097-3165
DOI: 10.1006/jcta.1999.2964

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✦ Synopsis

We apply the Weil conjectures to the Hessenberg varieties to obtain information about the combinatorics of descents in the symmetric group. Combining this with elementary linear algebra leads to elegant proofs of some identities from the theory of descents.

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