On elliptic Dunkl operators

Preprint, Other literature type English OPEN
Etingof, Pavel; Ma, Xiaoguang;
  • Publisher: University of Michigan, Department of Mathematics
  • Journal: issn: 0026-2285
  • Publisher copyright policies & self-archiving
  • Related identifiers: doi: 10.1307/mmj/1220879410
  • Subject: 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... View more
  • References (13)
    13 references, page 1 of 2

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  • Related Organizations (1)
    MIT ( MIT )
    United States
    Website url: http://web.mit.edu/
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