Linear Algebraic Monoids

Invariant Theory and Algebraic Transformation Groups

Lex E. Renner, R. V. Gamkrelidze, Vladimir L. Popov - Collection Encyclopaedia of Mathematical Sciences

246 pages, parution le 09/06/2005

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Résumé

The theory of linear algebraic monoids culminates in a coherent blend of algebraic groups, convex geometry, and semigroup theory. The book discusses all the key topics in detail, including classification, orbit structure, representations, universal constructions, and abstract analogues. An explicit cell decomposition is constructed for the wonderful compactification, as is a universal deformation for any semisimple group. A final chapter summarizes important connections with other areas of algebra and geometry. The book will serve as a solid basis for further research. Open problems are discussed as they arise and many useful exercises are included.

Sommaire

Introduction
Background
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
References
Index

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	PAPIER
Éditeur(s)	Springer
Auteur(s)	Lex E. Renner, R. V. Gamkrelidze, Vladimir L. Popov
Collection	Encyclopaedia of Mathematical Sciences
Parution	09/06/2005
Nb. de pages	246
Format	16 x 24
Couverture	Relié
Poids	500g
Intérieur	Noir et Blanc
EAN13	9783540242413