The Structure of Induced Simple Modules for 0-Hecke Algebras
- đ¤ Speaker: Imen Belmokhtar, QMUL
- đ Date & Time: Friday 01 March 2019, 15:00 - 16:00
- đ Venue: CMS, MR14
Abstract
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.
Series This talk is part of the Junior Algebra and Number Theory seminar series.
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Imen Belmokhtar, QMUL
Friday 01 March 2019, 15:00-16:00