On cartan matrices and lower defect groups for covering groups of symmetric groups

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

Authors

  • Christine Bessenrodt
  • Jørn B. Olsson

Research Organisations

External Research Organisations

  • University of Copenhagen
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Details

Original languageEnglish
Pages (from-to)3623-3635
Number of pages13
JournalTransactions of the American Mathematical Society
Volume358
Issue number8
Early online date20 Dec 2005
Publication statusPublished - Aug 2006

Abstract

We determine the elementary divisors of the Cartan matrices of spin p-blocks of the covering groups of the symmetric groups when p is an odd prime. As a consequence, we also compute the determinants of these Cartan matrices, and in particular we confirm a conjecture by Brundan and Kleshchev that these determinants depend only on the weight but not on the sign of the block.

ASJC Scopus subject areas

Cite this

On cartan matrices and lower defect groups for covering groups of symmetric groups. / Bessenrodt, Christine; Olsson, Jørn B.
In: Transactions of the American Mathematical Society, Vol. 358, No. 8, 08.2006, p. 3623-3635.

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

Bessenrodt C, Olsson JB. On cartan matrices and lower defect groups for covering groups of symmetric groups. Transactions of the American Mathematical Society. 2006 Aug;358(8):3623-3635. Epub 2005 Dec 20. doi: 10.1090/S0002-9947-05-03809-2
Bessenrodt, Christine ; Olsson, Jørn B. / On cartan matrices and lower defect groups for covering groups of symmetric groups. In: Transactions of the American Mathematical Society. 2006 ; Vol. 358, No. 8. pp. 3623-3635.
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