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 language | English |
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Pages (from-to) | 1476-1498 |
Number of pages | 23 |
Journal | Comm. Algebra |
Volume | 48 |
Issue number | 4 |
Early online date | 18 Dec 2019 |
DOIs | |
Publication status | Published - 2019 |