Fri, 06 Dec 2024

12:00 - 13:00
Quillen Room

Some Uniserial Specht Modules

Zain Kapadia
(Queen Mary University of London)
Abstract
The Representation Theory of the Symmetric Groups is a classical and rich area of combinatorial representation theory. Key objects of study include Specht modules, the irreducible ordinary representations, which can be reduced modulo p (for p prime). In general, these are no longer irreducible and finding their decomposition numbers and submodule structures are key questions in the area. We give sufficient and necessary conditions for a Specht module in characteristic 2, labelled by a hook partition to be a direct sum of uniserial summands.


 

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