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Submodules of Specht modules for Weyl groups

Published online by Cambridge University Press:  20 January 2009

Saіt Halicioğlu
Saіt Halicioğlu
Affiliation:
Department of Mathematics Ankara University 06100 Tandoğan Ankara, Turkey
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Abstract

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The construction of all irreducible modules of the symmetric groups over an arbitrary field which reduce to Specht modules in the case of fields of characteristic zero is given by G. D. James. Halicioğlu and Morris describe a possible extension of James' work for Weyl groups in general, where Young tableux are interpreted in terms of root systems. In this paper we show how to construct submodules of Specht modules for Weyl groups.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 39 , Issue 1 , February 1996 , pp. 43 - 50
Copyright
Copyright © Edinburgh Mathematical Society 1996

References

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