Linear Algebraic Monoids

The theory of linear algebraic monoids has been developed significantly only over the last twenty-five years, due largely to the efforts of Putcha and the author. It culminates a natural blend of algebraic groups, torus embeddings and semigroups. Unfortunately, this work had not been made as accessible as it might have been. Many of the fundamental developments were obtained after Putcha published his basic monograph "Linear algebraic monoids" in 1988. Solomon's 1995 survey "An introduction to reductive monoids" provides an engaging introduction to the theory of reductive monoids for a reader with an interest in algebra and combinatorics, but without requiring a lot of background from semigroups and algebraic group theory.

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