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

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autorschaft

  • Christine Bessenrodt
  • Jørn B. Olsson

Organisationseinheiten

Externe Organisationen

  • Københavns Universitet
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Details

OriginalspracheEnglisch
Seiten (von - bis)3623-3635
Seitenumfang13
FachzeitschriftTransactions of the American Mathematical Society
Jahrgang358
Ausgabenummer8
Frühes Online-Datum20 Dez. 2005
PublikationsstatusVeröffentlicht - 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 Sachgebiete

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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, Jahrgang 358, Nr. 8, 08.2006, S. 3623-3635.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › 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 Dez 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 ; Jahrgang 358, Nr. 8. S. 3623-3635.
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