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Quasiharmonic polynomials for Coxeter groups and representations of Cherednik algebras

Arkady Berenstein·Yurii Burman
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Abstract

We introduce and study deformations of finite-dimensional modules over rational Cherednik algebras. Our main tool is a generalization of usual harmonic polynomials for Coxeter groups -- the so-called quasiharmonic polynomials. A surprising application of this approach is the construction of canonical elementary symmetric polynomials and their deformations for all Coxeter groups.

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Arkady Berenstein, Yurii Burman. 2007-08-14. Quasiharmonic polynomials for Coxeter groups and representations of Cherednik algebras. https://arxiv.org/abs/math/0505173

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