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Lie Theory

March 10, 2008 to March 14, 2008
Organized By: Alexander Kleshchev, Arun Ram, Richard Stanley (chair), Bhama Srinivasan
 
Parent Programs:
Combinatorial Representation Theory
Representation Theory of Finite Groups and Related Topics
 
Return to Workshop Description
 

James' conjecture for Hecke algebras of exceptional type

Friday March 14, 2008

09:30AM - 10:30AM

Speakers:
Meinolf Geck

Abstract:

Recently I showed that Hecke algebras of finite type are cellular
in the sense of Graham-Lehrer. This leads to a natural generalisation of the
theory of Specht modules to Hecke algebras of any (finite) type. In this
framework, we can also formulate a general version of James conjecture, and
we obtain a straightforward algorithm for verifying it. In joint work
with Juergen
Mueller, we used this approach to prove James' conjecture for Hecke algebras
of exceptional type.
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