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Invariants of Specht modules

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If you have a question about this talk, please contact David Craven.

This talk is based on a joint work with S. Donkin. In a research paper of D. Hemmer the author conjectures that the module of fixed points for the symmetric group Sym(m) of a Specht module for Sym(n) (with n>m), over an algebraically closed filed of positive characteristic p, has a Specht series when viewed as a Sym(n−m)-module. In this talk we will provide a counterexample for each prime p.

This talk is part of the Algebra Seminar series.

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