# What is a Specht module?

I'm studying the structure of the Specht module for $S_n$ and I would like to know if there is some generalizations of this structure for Weyls groups or Coxeter groups.

http://www.math.uni-bonn.de/people/stroppel/Specht.pdf

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I assume you know the definition. Is this a "what is a Specht module, really?" question, or "what are analogues of a Specht module for other groups?" question? –  David Roberts Feb 26 '11 at 3:56
"what is a Specht module, really???" and "what are analogues of a Specht module for other groups?" are indeed my questions here :) –  Yannic Feb 26 '11 at 5:29

Though I haven't followed all of these developments closely, my perception is that the emphasis tends to shift from the finite Coxeter groups such as $S_n$ to their Iwahori-Hecke algebras and related module categories. Combinatorics is a major subtheme throughout, as well as categorification.