Linear Algebraic Monoids

AvLex E. Renner

Inbunden, Engelska, 2005

Del i serien Encyclopaedia of Mathematical Sciences

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2005-03-11
Mått:155 x 235 x undefined mm
Format:Inbunden
Språk:Engelska
Serie:Encyclopaedia of Mathematical Sciences
Antal sidor:246
Förlag:Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN:9783540242413

Utforska kategorier

Algebra inom Naturvetenskap och teknik

Recensioner i media

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)

Innehållsförteckning

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.