Representations of rank one algebraic monoids
Glasgow mathematical journal, Tome 30 (1988) no. 2, pp. 237-241

Voir la notice de l'article provenant de la source Cambridge University Press

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.
Renner, Lex E. Representations of rank one algebraic monoids. Glasgow mathematical journal, Tome 30 (1988) no. 2, pp. 237-241. doi: 10.1017/S001708950000728X
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