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Algebraic monoids Renner, Lex Ellery


Definition: Let k be an algebraically closed field. An algebraic monoid is a triple (E,m,l) such that E is an algebraic variety defined over k, m : ExE → E is an associative morphism and 1 € E is a two—sided unit for m. The object of this thesis is to expose several fundamental topics in the theory of algebraic monoids. My results may be divided into three types; general theory of irreducible affine monoids, structure and classification of semi—simple rank one reductive monoids, and theory of general monoid varieties (not necessarily affine). I General Theory of Affine Monoids II Reductive Monoids of Semi-simple Rank One III General Monoid Varieties [Please see document for entire abstract]

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