Linear Algebraic Monoids

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.

Sommario

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.

Riassunto

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.

Testo aggiuntivo

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)

Relazione

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)

Dettagli sul prodotto

• Autori: Lex Renner, Lex E Renner, Lex E. Renner
• Editore: Springer, Berlin
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 06.10.2010
• EAN: 9783642063497
• ISBN: 978-3-642-06349-7
• Pagine: 246
• Dimensioni: 156 mm x 13 mm x 234 mm
• Peso: 399 g
• Illustrazioni: XII, 246 p. 5 illus.
• Serie: Encyclopaedia of Mathematical Sciences; Encyclopaedia of Mathematical Sciences
• Categorie: Scienze naturali, medicina, informatica, tecnica > Matematica > Aritmetica, algebra; Algebra, Geometrie, B, Diskrete Mathematik, geometry, Combinatorics, Mathematics and Statistics, Linear Algebra, Discrete Mathematics, Combinatorics & graph theory, type map, torus embedding, reductive monoid