Dirac induction for rational Cherednik algebras

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Date/heure
Date(s) - 13/02/2018
14 h 00 min - 15 h 00 min

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In this joint work with D. Ciubotaru, we introduce the notion of local and global indices of Dirac operators for a rational Cherednik algebra H, with underlying reflection group G. In the local theory, I will report on some relations between the (local) Dirac index of a simple module in category O, the graded G-character and the composition series polynomials for standard modules. In the global theory, we introduce an “integral-reflection” module over which we define and compute the index of a (global) Dirac operator and show that the index is independent of the parameters. If time permits, I will discuss some local-global relations.

https://www.maths.ox.ac.uk/people/marcelo.demartino

Olivier CHABROL
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