Linear Algebraic Monoids

Lex E. Renner (Autor)

Buch | Softcover

XII, 246 Seiten

2010 | 1. Softcover reprint of hardcover 1st ed. 2005
Springer Berlin (Verlag)
978-3-642-06349-7 (ISBN)

Artikel merken

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	12.2.2010
Reihe/Serie	Encyclopaedia of Mathematical Sciences
Zusatzinfo	XII, 246 p. 5 illus.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	399 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
	Mathematik / Informatik ► Mathematik ► Graphentheorie
Schlagworte	Algebra • area • Bruhat decomposition • classification • combinatorics • linear algebra • reductive monoid • Renner monoid • SiM • torus embedding • type map • Volume
ISBN-10	3-642-06349-7 / 3642063497
ISBN-13	978-3-642-06349-7 / 9783642063497
Zustand	Neuware