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Determining irreducible $GL(n,K)$-modules
Published online by Cambridge University Press: 15 January 2004
Abstract
We discuss several methods which yield spanning sets for the irreducible polynomial $GL(n,K)$-modules, where $K$ is an infinite field. We show that the spanning set which arises from our first method coincides, up to sign, with the spanning set produced by a method due to Pittaluga and Strickland. We prove that these spanning sets are related to the spanning set produced by a third method via the Désarménien matrix.
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 136 , Issue 1 , January 2004 , pp. 119 - 137
- Copyright
- 2004 Cambridge Philosophical Society
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