On elliptic Dunkl operators
Preprint, Other literature type
- Publisher: University of Michigan, Department of Mathematics
13N10 | 16S32 | 14C20 | 14H52 | 20C08 | Mathematics - Representation Theory | 16G99 | Mathematics - Quantum Algebra
arxiv: Mathematics::Representation Theory | Mathematics::Quantum Algebra
We attach elliptic Dunkl operators to an abelian variety with a finite group action. This generalizes elliptic Dunkl operators for Weyl groups, defined by Buchstaber, Felder, and Veselov in 1994. We show that these operators commute, and use them to define representatio...