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Linear algebraic monoids /

Lex E. Renner.

Book Cover
Main Author: Renner, Lex Ellery
Published: Berlin ; Springer, ©2005.
Series: Encyclopaedia of mathematical sciences ; v. 134.
Encyclopaedia of mathematical sciences. Invariant theory and algebraic transformation groups ; 5.
Topics: Monoids. | Linear algebraic groups. | Semigroup algebras. | Monoïdes. | Groupes linéaires algébriques. | Algèbres de semi-groupes. | MATHEMATICS - Algebra - Linear. | Semigroup algebras. | Monoids. | Linear algebraic groups. | Lineaire algebra.
Genres: Electronic books.
Related Information: Publisher description
Related Information: http://swb.eblib.com/patron/FullRecord.aspx?p=259373
Online Access: SpringerLink Click here for LLCC access.
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100 1 |aRenner, Lex Ellery,|d1952-
245 10|aLinear algebraic monoids /|cLex E. Renner.
260 |aBerlin ;|aNew York :|bSpringer,|c©2005.
300 |a1 online resource (xii, 246 pages) :|billustrations
336 |atext|btxt|2rdacontent
337 |acomputer|bc|2rdamedia
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490 1 |aEncyclopaedia of mathematical sciences,|x0938-0396 ;|vv. 134.|aInvariant theory and algebraic transformation groups ;|v5
504 |aIncludes bibliographical references (pages 235-241) and index.
505 0 |aPreliminaries; Preface; Contents; 1 Introduction; 2 Background; 3 Algebraic Monoids; 4 Regularity Conditions; 5 Classification of Reductive Monoids; 6 Universal Constructions; 7 Orbit Structure of Reductive Monoids; 8 The Analogue of the Bruhat Decomposition; 9 Representations and Blocks of Algebraic Monoids; 10 Monoids of Lie Type; 11 Cellular Decomposition of Algebraic Monoids; 12 Conjugacy Classes; 13 The Centralizer of a Semisimple Element; 14 Combinatorics Related to Algebraic Monoids; 15 Survey of Related Developments; References; Index.
520 |aThe 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 discus.
588 0 |aPrint version record.
590 |aOCLC|bWorldCat Holdings
650 0|aMonoids.
650 0|aLinear algebraic groups.
650 0|aSemigroup algebras.
650 6|aMonoïdes.
650 6|aGroupes linéaires algébriques.
650 6|aAlgèbres de semi-groupes.
650 7|aMATHEMATICS|xAlgebra|xLinear.|2bisacsh
650 07|aSemigroup algebras.|2cct
650 07|aMonoids.|2cct
650 07|aLinear algebraic groups.|2cct
650 7|aLinear algebraic groups.|2fast|0(OCoLC)fst00999060
650 7|aMonoids.|2fast|0(OCoLC)fst01025589
650 7|aSemigroup algebras.|2fast|0(OCoLC)fst01112265
650 17|aLineaire algebra.|2gtt
655 4|aElectronic books.
773 08|i(MP)|tInvariant theory and algebraic transformation groups|gV|w(NL-LeOCL)317538047|7nnam
776 08|iPrint version:|aRenner, Lex Ellery, 1952-|tLinear algebraic monoids.|dBerlin ; New York : Springer, ©2005|z3540242414|z9783540242413|w(DLC) 2007299185|w(OCoLC)58839170
830 0|aEncyclopaedia of mathematical sciences ;|vv. 134.
830 0|aEncyclopaedia of mathematical sciences.|pInvariant theory and algebraic transformation groups ;|v5.
856 42|3Publisher description|uhttp://catdir.loc.gov/catdir/enhancements/fy0819/2007299185-d.html
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Staff View for: Linear algebraic monoids