ON SELF-EXTENSIONS OF IRREDUCIBLE MODULES OVER SYMMETRIC GROUPS

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Haralampos Geranios
  • Alexander Kleshchev
  • Lucia Morotti

Research Organisations

External Research Organisations

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

Original languageEnglish
Pages (from-to)2627-2676
Number of pages50
JournalTransactions of the American Mathematical Society
Volume375
Issue number4
Early online date20 Jan 2022
Publication statusPublished - Apr 2022

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.

ASJC Scopus subject areas

Cite this

ON SELF-EXTENSIONS OF IRREDUCIBLE MODULES OVER SYMMETRIC GROUPS. / Geranios, Haralampos; Kleshchev, Alexander; Morotti, Lucia.
In: Transactions of the American Mathematical Society, Vol. 375, No. 4, 04.2022, p. 2627-2676.

Research output: Contribution to journal › Article › Research › peer review

Geranios H, Kleshchev A, Morotti L. ON SELF-EXTENSIONS OF IRREDUCIBLE MODULES OVER SYMMETRIC GROUPS. Transactions of the American Mathematical Society. 2022 Apr;375(4):2627-2676. Epub 2022 Jan 20. doi: 10.48550/arXiv.2006.12961, 10.1090/tran/8566
Geranios, Haralampos ; Kleshchev, Alexander ; Morotti, Lucia. / ON SELF-EXTENSIONS OF IRREDUCIBLE MODULES OVER SYMMETRIC GROUPS. In: Transactions of the American Mathematical Society. 2022 ; Vol. 375, No. 4. pp. 2627-2676.
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