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28 March 2024
 
  » arxiv » math.RT/0505173

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Quasiharmonic polynomials for Coxeter groups and representations of Cherednik algebras
Arkady Berenstein ; Yurii Burman ;
Date 10 May 2005
Subject Representation Theory; Quantum Algebra | math.RT math.QA
AbstractWe 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.
Source arXiv, math.RT/0505173
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