On Algebraic Semigroups and Monoids

Michel Brion (1)

1 IF - Institut Fourier

We present some fundamental results on (possibly nonlinear) algebraic semigroups and monoids. These include a version of Chevalley’s structure theorem for irreducible algebraic monoids, and the description of all algebraic semigroup structures on curves and complete varieties.

Domaines: Mathématiques [math]

Michel Brion. On Algebraic Semigroups and Monoids. Algebraic Monoids, Group Embeddings, and Algebraic Combinatorics, 71, pp.1-54, 2014, Fields Institute Communications, 978-1-4939-0937-7. ⟨hal-02020837⟩