ON SELF-EXTENSIONS OF IRREDUCIBLE MODULES OVER SYMMETRIC GROUPS

authored by

Haralampos Geranios, Alexander Kleshchev, Lucia Morotti

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.

Organisation(s)

Institute of Algebra, Number Theory and Discrete Mathematics

External Organisation(s)

Univ. York, Dep. Comput. Sci., Non-Stand. Comput. Group
University of Oregon

Type

Article

Journal

Transactions of the American Mathematical Society

Volume

375

Pages

2627-2676

No. of pages

50

ISSN

0002-9947

Publication date

04.2022

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Mathematics(all), Applied Mathematics

Electronic version(s)

https://doi.org/10.48550/arXiv.2006.12961 (Access: Open)
https://doi.org/10.1090/tran/8566 (Access: Closed)