ENGLISH

Linear Algebraic Monoids

Book information

Publisher
Springer
Year
2005
ISBN
9783540242413, 3-540-24241-4
ISSN
0938-0396
Open Library ID
OL9797296M
Language
english
Format
PDF
Filesize
2 MB (2231797 bytes)
Series
Encyclopaedia of mathematical sciences, Invariant theory and algebraic transformation groups 134., 5
Edition
1
Pages
247\247
Topic
Mathematics Algebra
Library
mexmat
Time added
2009-07-20 03:45:11

Description

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.

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