On self-extensions of irreducible modules over symmetric groups

Geranios, Haralampos; Kleshchev, Alexander; Morotti, Lucia

doi:10.1090/tran/8566

On self-extensions of irreducible modules over symmetric groups
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by Haralampos Geranios, Alexander Kleshchev and Lucia Morotti PDF

Trans. Amer. Math. Soc. 375 (2022), 2627-2676 Request permission

Abstract:

A conjecture going back to the eighties claims that there are no non-trivial self-extensions of irreducible modules over symmetric groups if the characteristic of the ground field is not equal to $2$. We obtain some partial positive results on this conjecture.

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