Algebraic monoids and group embeddings

Details Algebraic monoids and group embeddings Algebraic monoids and group embeddings

1998-02-16

arxiv.org/abs/math/9802073v1

Mathematics

Algebraic Geometry

latex2e, uses epsfig; 21 pages, 1 figure

Scientific paper

We study the geometry of algebraic monoids. We prove that the group of
invertible elements of an irreducible algebraic monoid is an algebraic group,
open in the monoid. Moreover, if this group is reductive, then the monoid is
affine. We then give a combinatorial classification of reductive monoids by
means of the theory of spherical varieties.

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