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1. Quasiharmonic polynomials for Coxeter groups and representations of Cherednik algebras.

Author

Arkady Berenstein and Yurii Burman

Subjects
*POLYNOMIALS, *HARMONIC functions, *COXETER groups, *REPRESENTATIONS of algebras, *DEFORMATIONS (Mechanics), *HOMOTOPY theory, *MODULES (Algebra), *DIMENSIONAL analysis
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 each Coxeter group --- 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. [ABSTRACT FROM AUTHOR]

Published
2009
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