Linear Algebraic Monoids
Springer Berlin (Verlag)
978-3-642-06349-7 (ISBN)
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 |
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