Linear Algebraic Monoids: 134 (Encyclopaedia of Mathematical Sciences) - Softcover

Renner, Lex E. E.

 
9783642063497: Linear Algebraic Monoids: 134 (Encyclopaedia of Mathematical Sciences)

Inhaltsangabe

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.

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Críticas

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)

Reseña del editor

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.

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9783540242413: Linear Algebraic Monoids: 134 (Encyclopaedia of Mathematical Sciences)

Vorgestellte Ausgabe

ISBN 10:  3540242414 ISBN 13:  9783540242413
Verlag: Springer, 2005
Hardcover