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arXiv · 1806.10862

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

Kieran Calvert
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Abstract

In this paper we define a new presentation for the Dunkl-Opdam subalgebra of the rational Cherednik algebra. This shows that the Dunkl-Opdam subalgebra is a Drinfeld algebra. We use this fact to define Dirac cohomology for the DO subalgebra. We also formalise generalised graded Hecke algebras and define a Langlands classification to generalised graded Hecke algebras.

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BibTeXRIS

Kieran Calvert. 2018-06-28. Dirac cohomology and simple modules of the Dunkl-Opdam subalgebra via inherited Drinfeld properties. https://doi.org/10.1080/00927872.2019.1691567

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