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.
Rezensionen / Stimmen
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)
Reihe
Auflage
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Research
Illustrationen
5
5 s/w Abbildungen
XII, 246 p. 5 illus.
Maße
Höhe: 23.5 cm
Breite: 15.5 cm
Gewicht
ISBN-13
978-3-540-24241-3 (9783540242413)
DOI
Schweitzer Klassifikation
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.
