This book contains a collection of fifteen articles and is dedicated to
the sixtieth birthdays of Lex Renner and Mohan Putcha, the pioneers of
the field of algebraic monoids.
Topics presented include:
structure and representation theory of reductive algebraic monoids
monoid schemes and applications of monoids
monoids related to Lie theory
equivariant embeddings of algebraic groups
constructions and properties of monoids from algebraic combinatorics
endomorphism monoids induced from vector bundles
Hodge-Newton decompositions of reductive monoids
A portion of these articles are designed to serve as a self-contained
introduction to these topics, while the remaining contributions are
research articles containing previously unpublished results, which are
sure to become very influential for future work. Among these, for
example, the important recent work of Michel Brion and Lex Renner
showing that the algebraic semi groups are strongly π-regular.
Graduate students as well as researchers working in the fields of
algebraic (semi)group theory, algebraic combinatorics and the theory of
algebraic group embeddings will benefit from this unique and broad
compilation of some fundamental results in (semi)group theory, algebraic
group embeddings and algebraic combinatorics merged under the umbrella
of algebraic monoids.