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Representations of rank one algebraic monoids

Published online by Cambridge University Press:  18 May 2009

Lex E. Renner
Lex E. Renner
Affiliation:
University of Western Ontario, London, CanadaN6A 5B7
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One of the fundamental results of representation theory is the identification of the irreducible representations of a semisimple group by their dominant weights [3]. The purpose of this paper is to establish similar results for a class of reductive algebraic monoids.

Let k be an algebraically closed field. An algebraic monoid is an affine algebraic variety M defined over k, together with an associative morphism m:M × M → M and a two-sided unit 1 ∈ M for m.

Information

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 30 , Issue 2 , May 1988, pp. 237 - 241
Copyright
Copyright © Glasgow Mathematical Journal Trust 1988

References

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