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arXiv · 2006.12961

On self-extensions of irreducible modules over symmetric groups

Haralampos Geranios·Alexander Kleshchev·Lucia Morotti
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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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Haralampos Geranios, Alexander Kleshchev, Lucia Morotti. 2021-09-28. On self-extensions of irreducible modules over symmetric groups. https://arxiv.org/abs/2006.12961

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