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DICKSON–MUI INVARIANTS

Published online by Cambridge University Press:  12 December 2005

M. C. CRABB
M. C. CRABB
Affiliation:
Department of Mathematical Sciences, University of Aberdeen, Aberdeen, AB24 3UE, United Kingdom, [email protected]
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Abstract

Let V be a finite-dimensional vector space over a finite field. The general and special linear groups, GL(V) and SL(V), act on the exterior algebras $\Lambda^*V$ and $\Lambda^*V^*$ of V and its dual $V^*$, and on the symmetric algebra $\S^*V$. The subring of SL(V)-invariants of $\Lambda^*V\otimes\S^*V$ was determined by Dickson and Mui. This paper describes the equivalent, but simpler, calculation of the invariant subring of $\Lambda^*V^*\otimes\S^*V$ as a representation of GL(V)/SL(V).

Keywords

13A50
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 37 , Issue 6 , December 2005 , pp. 846 - 856
Copyright
© The London Mathematical Society 2005

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