On a conjecture of Hivert and Thiéry about Steenrod operators

Abstract

We prove some results related to a conjecture of Hivert and Thiéry about the dimension of the space of q-harmonics. In the process we compute the actions of the involved operators on symmetric and alternating functions, which have some independent interest. We then use these computations to prove other results related to the same conjecture.

39 pages

References in corpus (1)

• Harmonics for Deformed Steenrod Operators

Cited by in corpus (1)

• Deformed diagonal harmonic polynomials for complex reflection groups