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

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Authors

  • Christine Bessenrodt
  • Jørn B. Olsson

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  • 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.

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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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