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SEMINAR: Groups and Combinatorics Seminar: Clifford theory and Hecke algebras

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Today's date is Friday, October 30, 2020
Groups and Combinatorics Seminar: Clifford theory and Hecke algebras Other events...
Groups and Combinatorics Seminar

Arun Ram (University of Melbourne)

will speak on

Clifford theory and Hecke algebras

at 1pm on Tuesday the 23rd of October in MLR2

Abstract: The usual Clifford theory describes the irreducible representations of group G in terms of those of a normal subgroup. Generalizing, Clifford theory constructs the irreducible representations of semidirect product rings and invariant rings. In this work with Z. Daugherty we use Clifford theory to index the irreducible representations of two pole Hecke algebras and relate this indexing to a labeling coming from statistical mechanics (following work of de Gier and Nichols) and to a geometric labeling (coming from K-theory of Steinberg varieties following Kazhdan-Lusztig). Despite the maths-physics and geometric motivations for the project, in the talk I shall assume only that the audience is familiar with the notions of groups, rings, and modules.

All welcome
Speaker(s) Arun Ram
Location Maths Lecture Room 2
Contact Michael Giudici <[email protected]>
Start Tue, 23 Oct 2012 13:00
End Tue, 23 Oct 2012 13:45
Submitted by Michael Giudici <[email protected]>
Last Updated Thu, 18 Oct 2012 14:26
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