Linear Algebraic Monoids
Springer Berlin (Verlag)
978-3-540-24241-3 (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 | 11.3.2005 |
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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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