The next meeting of the Algebra and Logic Seminar will be held online via Zoom on **February 23, 2024** (Friday) **at 1:00 pm **(UTC+2).

A talk on:

_{Invariant subalgebras of the rational Cherednik algebra}

_{Invariant subalgebras of the rational Cherednik algebra}

will be delivered by

**Niall Hird (University of Glasgow, UK).**

**Abstract. **The rational Cherednik algebra is a degeneration of the double affine Hecke algebra and an object of interest to many representation theorists, it also has strong connections to integrable systems. In my talk I will discuss two subalgebras that arise from considering the invariants of the action of reductive subgroups of the special linear group. In particular we will examine the centres of these invariant subalgebras and compare with the algebra of invariants of the centre of the entire rational Cherednik algebra under the same groups. These subalgebras arise naturally in the study of rational Cherednik algebras, one of which is the Dunkl angular momentum algebra and the other is generated by all degree zero elements.

Link to the Zoom room:

https://us02web.zoom.us/j/

Algebra and Logic Department, IMI – BAS

http://www.math.bas.bg/algebra/seminarAiL/

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