Linear Algebraic Monoids

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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)

Author(s): Lex E. Renner (auth.)
Series: Encyclopaedia of Mathematical Sciences 134
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2005

Language: English
Pages: 246
Tags: Algebra; Geometry; Combinatorics

Introduction....Pages 1-4
Background....Pages 5-31
Algebraic Monoids....Pages 33-43
Regularity Conditions....Pages 45-55
Classification of Reductive Monoids....Pages 57-71
Universal Constructions....Pages 73-90
Orbit Structure of Reductive Monoids....Pages 91-125
The Analogue of the Bruhat Decomposition....Pages 127-151
Representations and Blocks of Algebraic Monoids....Pages 153-166
Monoids of Lie Type....Pages 167-185
Cellular Decomposition of Algebraic Monoids....Pages 187-193
Conjugacy Classes....Pages 195-204
The Centralizer of a Semisimple Element....Pages 205-212
Combinatorics Related to Algebraic Monoids....Pages 213-226
Survey of Related Developments....Pages 227-233