SEMINAR: Groups and Combinatorics Seminar: Clifford theory and Hecke algebras
|Groups and Combinatorics Seminar: Clifford theory and Hecke algebras
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.
Maths Lecture Room 2
Tue, 23 Oct 2012 13:00
Tue, 23 Oct 2012 13:45
Michael Giudici <[email protected]>
Thu, 18 Oct 2012 14:26
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