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ISSN 1088-6850(e) ISSN 0002-9947(p)

Quasiharmonic polynomials for Coxeter groups and representations of Cherednik algebras

Author(s): Arkady Berenstein; Yurii Burman
Journal: Trans. Amer. Math. Soc. 362 (2010), 229-260.
MSC (2000): Primary 20F55; Secondary 15A72
Posted: August 17, 2009
MathSciNet review: 2550150
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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 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.

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