Dunkl Operators and Canonical Invariants of Reflection Groups
Representation Theory
2009-06-03 v3 Quantum Algebra
Abstract
Using Dunkl operators, we introduce a continuous family of canonical invariants of finite reflection groups. We verify that the elementary canonical invariants of the symmetric group are deformations of the elementary symmetric polynomials. We also compute the canonical invariants for all dihedral groups as certain hypergeometric functions.
Cite
@article{arxiv.0812.2624,
title = {Dunkl Operators and Canonical Invariants of Reflection Groups},
author = {Arkady Berenstein and Yurii Burman},
journal= {arXiv preprint arXiv:0812.2624},
year = {2009}
}
Comments
v2: few corrections, some proofs and references added; v3: published version