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Homomorphisms between Specht modules

SPEAKER: Harald Ellers

TITLE: Homomorphisms between Specht modules

ABSTRACT The problem of finding the space of homomorphisms between Specht modules has not been solved. A fairly old theorem of Carter and Payne gives some sufficient conditions for the space to be nonzero. We will look at some new ways to think about Carter-Payne homomorphisms that make them seem less mysterious. Extensions to Iwahori-Hecke algebras will also be discussed.