Dirac cohomology of the Dunkl-Opdam subalgebra via inherited Drinfeld properties |
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Authors: | Kieran Calvert |
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Institution: | 1. Department of Mathematics, University of Manchester, Manchester, United Kingdom of Great Britain and Northern Irelandkieran.calvert@manchester.ac.uk |
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Abstract: | AbstractIn 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. |
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Keywords: | Dunkl Opdam subalgebra Dirac Cohomology Drinfeld algebra Langlands classification Rational Cherednik algebra |
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