Invariants of Specht modules

Representation Theory

20 May 15:30 - 16:30

Stephen Donkin - University of York

This is joint work with H. Geranios on the the modular representation theory of symmetric groups. The Specht modules for the symmetric group S_n are characteristic free versions of the ordinary irreducible modules. In particular they are labelled by the partitions of n. Let m and n be positive integers. Then S_m X S_n embeds in S_{m+n} in a natural way so that the space of S_m invariants of an S_{m+n}-module is naturally an S_n-module. We study the module of S_m invariants of a Specht module Sp_L, where L is a partition of m+n. We show in particular that this module does not always have a filtration by Specht modules, providing a counterexample to a conjecture of D. Hemmer.
Henning Haahr Andersen
Aarhus University
Aslak Bakke Buan
NTNU - Norwegian University of Science and Technology
Volodymyr Mazorchuk,
Uppsala University


Volodymyr Mazorchuk

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