Descent identities, Hessenberg varieties, and the Weil conjectures

Details Descent identities, Hessenberg varieties, and the Weil conjectures Descent identities, Hessenberg varieties, and the Weil conjectures

1997-12-09

arxiv.org/abs/math/9712242v1

Mathematics

Combinatorics

7 pages

Scientific paper

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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