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The Structure of Induced Simple Modules for 0-Hecke Algebras

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17th Meeting: Groups & Their Applications

We shall be concerned with the 0-Hecke algebra; its irreducible representations were classified and shown to be one-dimensional by Norton in 1979. The structure of a finite-dimensional module can be fully described by computing its submodule lattice. We will discuss how this can be encoded in a generally much smaller poset given certain conditions; this allows us to obtain branching rules which remarkably describe the full structure of an induced simple module in types B and D.

This talk is part of the Algebra seminar series.

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