Hecke Algebra Actions on the Coinvariant Algebra

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Hecke Algebra Actions on the Coinvariant Algebra

Two actions of the Hecke algebra of type A on the corresponding polynomial ring are introduced. Both are deformations of the natural action of the symmetric group on polynomials, and keep symmetric functions invariant. An explicit combinatorial formula is given for the resulting graded characters on the coinvariant algebra.

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ژورنال

عنوان ژورنال: Journal of Algebra

سال: 2000

ISSN: 0021-8693

DOI: 10.1006/jabr.2000.8441