Descent identities, Hessenberg varieties, and the Weil conjectures

1997/12/09 by Jason Fulman, Fulman, Jason · 1 citation
Mathematics · #Combinatorics (math.CO) #FOS: Mathematics #math.CO

paper · pdf · doi:10.48550/arxiv.math/9712242

7 pages

arxiv created 1997/12/09 · arxiv updated 2009/11/30

Abstract

The Weil Conjectures are applied to the Hessenberg Varieties to obtain interesting 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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