On Cartan matrices and lower defect groups for covering groups of symmetric groups-Reference-Cited by-同舟云学术

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

Published:2005-12-20 Issue:8 Volume:358 Page:3623-3635
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Bessenrodt Christine,Olsson Jørn

Abstract

We determine the elementary divisors of the Cartan matrices of spin p p -blocks of the covering groups of the symmetric groups when p 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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/2006-358-08/S0002-9947-05-03809-2/S0002-9947-05-03809-2.pdf

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