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Hecke Algebra Actions on the Coinvariant Algebra

✍ Scribed by Ron M. Adin; Alexander Postnikov; Yuval Roichman

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 134 KB
Volume: 233
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2000.8441

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✦ Synopsis

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.

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