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 language | English |
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Pages (from-to) | 594-613 |
Number of pages | 20 |
Journal | Journal of Algebra |
Volume | 233 |
Issue number | 2 |
DOIs | |
State | Published - 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.
Funders | Funder number |
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Bar-Ilan University | |
Israel Science Foundation |