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Decomposition numbers of 2-parts spin representations of symmetric groups in characteristic 2

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Lucia Morotti

External Research Organisations

  • Heinrich-Heine-Universität Düsseldorf

Details

Original languageEnglish
Pages (from-to)109-140
Number of pages32
JournalJournal of Algebra
Volume657
Early online date27 May 2024
Publication statusPublished - 1 Nov 2024

Abstract

We give explicit formulas to compute most of the decomposition numbers of reductions modulo 2 of irreducible spin representations of symmetric groups indexed by partitions with at most 2 parts. In many of the still open cases small upper bounds are found.

Keywords

    math.RT, Symmetric groups, Spin representations, Decomposition numbers

ASJC Scopus subject areas

Cite this

Decomposition numbers of 2-parts spin representations of symmetric groups in characteristic 2. / Morotti, Lucia.
In: Journal of Algebra, Vol. 657, 01.11.2024, p. 109-140.

Research output: Contribution to journalArticleResearchpeer review

Morotti L. Decomposition numbers of 2-parts spin representations of symmetric groups in characteristic 2. Journal of Algebra. 2024 Nov 1;657:109-140. Epub 2024 May 27. doi: 10.1016/j.jalgebra.2024.04.031, 10.48550/arXiv.2303.00629
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