Kronecker positivity and 2-modular representation theory

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

Authors

  • Christine Bessenrodt
  • Christopher Bowman
  • Louise Sutton

Research Organisations

External Research Organisations

  • Univ. York, Dep. Comput. Sci., Non-Stand. Comput. Group
  • Okinawa Institute of Science and Technology Graduate University (OIST)
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Details

Original languageEnglish
Pages (from-to)1024-1055
Number of pages32
JournalTransactions of the American Mathematical Society. Series B
Volume8
Issue number33
Publication statusPublished - 10 Dec 2021

Abstract

This paper consists of two prongs. Firstly, we prove that any Specht module labelled by a 2-separated partition is semisimple and we completely determine its decomposition as a direct sum of graded simple modules. Secondly, we apply these results and other modular representation theoretic techniques on the study of Kronecker coefficients and hence verify Saxl’s conjecture for several large new families of partitions. In particular, we verify Saxl’s conjecture for all irreducible characters of S n which are of 2-height zero.

ASJC Scopus subject areas

Cite this

Kronecker positivity and 2-modular representation theory. / Bessenrodt, Christine; Bowman, Christopher; Sutton, Louise.
In: Transactions of the American Mathematical Society. Series B, Vol. 8, No. 33, 10.12.2021, p. 1024-1055.

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

Bessenrodt, C, Bowman, C & Sutton, L 2021, 'Kronecker positivity and 2-modular representation theory', Transactions of the American Mathematical Society. Series B, vol. 8, no. 33, pp. 1024-1055. https://doi.org/10.48550/arXiv.1903.07717, https://doi.org/10.1090/btran/70
Bessenrodt, C., Bowman, C., & Sutton, L. (2021). Kronecker positivity and 2-modular representation theory. Transactions of the American Mathematical Society. Series B, 8(33), 1024-1055. https://doi.org/10.48550/arXiv.1903.07717, https://doi.org/10.1090/btran/70
Bessenrodt C, Bowman C, Sutton L. Kronecker positivity and 2-modular representation theory. Transactions of the American Mathematical Society. Series B. 2021 Dec 10;8(33):1024-1055. doi: 10.48550/arXiv.1903.07717, 10.1090/btran/70
Bessenrodt, Christine ; Bowman, Christopher ; Sutton, Louise. / Kronecker positivity and 2-modular representation theory. In: Transactions of the American Mathematical Society. Series B. 2021 ; Vol. 8, No. 33. pp. 1024-1055.
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