Hecke algebra actions on the coinvariant algebra

Ron M. Adin, Alexander Postnikov, Yuval Roichman

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

Two actions of the Hecke algebra of type A on the corresponding polynomial ring are studied. Both are deformations of the natural action of the symmetric group on polynomials, and keep symmetric functions invariant. We give an explicit description of these actions, and deduce a combinatorial formula for the resulting graded characters on the coinvariant algebra.

Original languageEnglish
Pages (from-to)594-613
Number of pages20
JournalJournal of Algebra
Volume233
Issue number2
DOIs
StatePublished - 15 Nov 2000

Bibliographical note

Funding Information:
1Research supported in part by the Israel Science Foundation and by internal research grants from Bar-Ilan University.

Funding

1Research supported in part by the Israel Science Foundation and by internal research grants from Bar-Ilan University.

FundersFunder number
Bar-Ilan University
Israel Science Foundation

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