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arXiv · 1511.07965

A Casselman-Osborne theorem for rational Cherednik algebras

Jing-Song Huang·Kayue Daniel Wong
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Abstract

We define Lie algebra cohomology associated with the half-Dirac operators for representations of rational Cherednik algebras and show that it has property described in the Casselman-Osborne Theorem by establishing a version of the Vogan's conjecture for the half-Dirac operators. Moreover, we study the relationship between Lie algebra cohomology and Dirac cohomology in analogy of the representations for semisimple Lie algebras.

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BibTeXRIS

Jing-Song Huang, Kayue Daniel Wong. 2017-01-04. A Casselman-Osborne theorem for rational Cherednik algebras. https://arxiv.org/abs/1511.07965

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