Hecke Algebra Actions on the Coinvariant Algebra

Details Hecke Algebra Actions on the Coinvariant Algebra Hecke Algebra Actions on the Coinvariant Algebra

1999-08-17

arxiv.org/abs/math/9908090v2

Mathematics

Representation Theory

21 pages; final form, to appear in the Journal of Algebra

Scientific paper

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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