Discusses all the key topics in detail, including classification, orbit structure, representations, universal constructions, and abstract analogues Includes supplementary material: sn.pub/extras
Lex E. Renner
Algebra Area Bruhat decomposition Renner monoid Sim Volume classification linear algebra reductive monoid torus embedding type map combinatorics
From the reviews:
"This account of algebraic monoids … starts by recalling the basics of algebraic geometry, algebraic groups and semigroups … . The main question, how a monoid is composed of units and idempotents, is discussed at length … . A most useful account, giving current developments of the subject." (Mathematika, Vol. 52, 2005)