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ISSN 1088-6850(e) ISSN 0002-9947(p)

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

Authors: Christine Bessenrodt and Jørn B. Olsson
Journal: Trans. Amer. Math. Soc. 358 (2006), 3623-3635
MSC (2000): Primary 20C30; Secondary 20C25
Posted: December 20, 2005
MathSciNet review: 2218991
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Abstract | References | Similar Articles | Additional Information

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

References

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