Dirac cohomology of the Dunkl-Opdam subalgebra via inherited Drinfeld properties

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Abstract

In this paper, we define a new presentation for the Dunkl-Opdam subalgebra of the rational Cherednik algebra. This presentation uncovers the Dunkl-Opdam subalgebra as a Drinfeld algebra. We use this fact to define Dirac cohomology for the DO subalgebra. We also formalize generalized graded Hecke algebras and extend a Langlands classification to generalized graded Hecke algebras.
Original languageEnglish
Pages (from-to)1476-1498
Number of pages23
JournalComm. Algebra
Volume48
Issue number4
Early online date18 Dec 2019
DOIs
Publication statusPublished - 2019

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