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Linear Algebraic Monoids Lex E. Renner

Linear Algebraic Monoids By Lex E. Renner

Linear Algebraic Monoids by Lex E. Renner


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Summary

This solid volume discusses all the key topics in detail, including classification, orbit structure, representations, universal constructions, and abstract analogues. Open problems are discussed as they arise and many useful exercises are included.

Linear Algebraic Monoids Summary

Linear Algebraic Monoids by Lex E. Renner

This solid volume discusses all the key topics in detail, including classification, orbit structure, representations, universal constructions, and abstract analogues. Open problems are discussed as they arise and many useful exercises are included.

Linear Algebraic Monoids Reviews

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)

Table of Contents

Introduction.- Background.- Algebraic Monoids.- Regularity Conditions.- Classification of Reductive Monoids.- Universal Constructions.- Orbit Structure of Reductive Monoids.- The Monoid Analogue of the Bruhat Decomposition.- Representations and Blocks of Algebraic Monoids.- Monoids of Lie Type.- Cell Decomposition of Algebraic Monoids.- Conjugacy Classes.- The Centralizer of a Semisimple Element.- Combinatorics Related to Algebraic Monoids.- Related Developments.- References.- Index.

Additional information

NPB9783540242413
9783540242413
3540242414
Linear Algebraic Monoids by Lex E. Renner
New
Hardback
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
2005-03-11
246
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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Customer Reviews - Linear Algebraic Monoids