Linear Algebraic Monoids

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ISBN: 9780521358095 | 0521358094
Cover: Paperback
Copyright: 8/26/1988

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This book provides an introduction to the field of linear algebraic monoids. This subject represents a synthesis of ideas from the theory of algebraic groups, algebraic geometry, matrix theory and abstract semigroup theory. Since every representation of an algebraic group gives rise to an algebraic monoid, the objects of study do indeed arise naturally.

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Abstract Semigroups
Algebraic Geometry
Linear Algebraic Semigroups
Linear Algebraic Groups
Connected Algebraic Semigroups
Connected Algebraic Monoids
Reductive Groups and Regular Semigroups
Diagonal Monoids
Cross-section Lattices
Î3/4-Structure
Renner's Decomposition and Related Finite Semigroups
Biordered Sets
Tits Building
The System of Idempotents
J-irreducible and J co-reducible Monoids
Renner's Extension Principle and Classification
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Linear Algebraic Monoids

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Linear Algebraic Monoids

Summary

Table of Contents

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