Linear Algebraic Monoids

(Autor)

Buch | Hardcover
XII, 246 Seiten
2005 | 2005
Springer Berlin (Verlag)
978-3-540-24241-3 (ISBN)

Lese- und Medienproben

Linear Algebraic Monoids - Lex E. Renner
128,39 inkl. MwSt
lt;p>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.

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.

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)

Erscheint lt. Verlag 11.3.2005
Reihe/Serie Encyclopaedia of Mathematical Sciences
Zusatzinfo XII, 246 p. 5 illus.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 510 g
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Geometrie / Topologie
Mathematik / Informatik Mathematik Graphentheorie
Schlagworte Algebra • area • Bruhat decomposition • classification • combinatorics • linear algebra • Monoid • reductive monoid • Renner monoid • SiM • torus embedding • type map • Volume
ISBN-10 3-540-24241-4 / 3540242414
ISBN-13 978-3-540-24241-3 / 9783540242413
Zustand Neuware
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