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Linear Algebraic Monoids

Jezik EngleskiEngleski
Knjiga Tvrdi uvez
Knjiga Linear Algebraic Monoids Lex E. Renner
Libristo kod: 01560213
The theory of linear algebraic monoids culminates in a coherent blend of algebraic groups, convex ge... Cijeli opis
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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. TOC: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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Informacije o knjizi

Puni naziv Linear Algebraic Monoids
Jezik Engleski
Uvez Knjiga - Tvrdi uvez
Datum izdanja 2005
Broj stranica 246
EAN 9783540242413
ISBN 3540242414
Libristo kod 01560213
Težina 1200
Dimenzije 155 x 235 x 22
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