On self-extensions of irreducible modules over symmetric groups

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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Bibliographic Details
Published in:Transactions of the American Mathematical Society 2022-04, Vol.375 (4), p.2627
Main Authors: Haralampos Geranios, Alexander Kleshchev, Lucia Morotti
Format: Article
Language:English
Online Access:Get full text
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Description
Summary: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.
ISSN:0002-9947
1088-6850
DOI:10.1090/tran/8566