The centre of the restricted rational Cherednik algebra

Niall Hird (University of Glasgow)

Wednesday 8th December, 2021 16:00-17:00 Maths 110

Abstract

In this talk I will give a brief introduction to rational and restricted rational Cherednik algebras. In the specific case of the symmetric group, it is possible to use the Wronskian map to explicitly present the centre of the restricted rational Cherednik algebra in terms of generators and relations. I will explain how to do this and show how to extend this to the wreath product of the symmetric group and the cyclic group.

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