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Decomposition matrices for spin characters of symmetric groups

Published online by Cambridge University Press:  14 November 2011

A. O. Morris  and
A. K. Yaseen
A. O. Morris
Affiliation:
Department of Mathematics, The University College of Wales, Aberystwyth SY23 3BZ, Dyfed, Wales
A. K. Yaseen
Affiliation:
Department of Mathematics, The University College of Wales, Aberystwyth SY23 3BZ, Dyfed, Wales
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Synopsis

Methods are developed for determining the decomposition matrices for the spin characters of the symmetric groups Sn for an odd prime p. Some general results are obtained which are non-trivial modifications of the corresponding results for ordinary characters. The methods are used to determine the decomposition matrices for 3 ≦ n ≦ ll, and p = 3 but with an interesting ambiguity in the case n = 9. The second author will deal separately with the cases p = 5, 7, 11.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 108 , Issue 1-2 , 1988 , pp. 145 - 164
Copyright
Copyright © Royal Society of Edinburgh 1988

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