Linear Algebraic Monoids

• Main Author: Renner, Lex E. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2005.
• Series: Encyclopaedia of Mathematical Sciences, Invariant Theory and Algebraic Transformation Groups V, 134
• Subjects: Mathematics.; Algebra.; Geometry.; Combinatorics.

Table of Contents:

• Background
• Algebraic Monoids
• Regularity Conditions
• Classification of Reductive Monoids
• Universal Constructions
• Orbit Structure of Reductive Monoids
• The Analogue of the Bruhat Decomposition
• Representations and Blocks of Algebraic Monoids
• Monoids of Lie Type
• Cellular Decomposition of Algebraic Monoids
• Conjugacy Classes
• The Centralizer of a Semisimple Element
• Combinatorics Related to Algebraic Monoids
• Survey of Related Developments.