Highlights in Lie Algebraic Methods

Buch | Hardcover
227 Seiten
2011
Birkhauser Boston Inc (Verlag)
978-0-8176-8273-6 (ISBN)

Lese- und Medienproben

Highlights in Lie Algebraic Methods -
117,69 inkl. MwSt
This volume consists of expository and research articles that highlight the various Lie algebraic methods used in mathematical research today. Key topics discussed include spherical varieties, Littelmann Paths and Kac–Moody Lie algebras, modular representations, primitive ideals, representation theory of Artin algebras and quivers, Kac–Moody superalgebras, categories of Harish–Chandra modules, cohomological methods, and cluster algebras. 

Preface.- Part I: The Courses.- 1 Spherical Varieties.- 2 Consequences of the Littelmann Path Model for the Structure of the Kashiwara B(∞) Crystal.- 3 Structure and Representation Theory of Kac–Moody Superalgebras.- 4 Categories of Harish–Chandra Modules.- 5 Generalized Harish–Chandra Modules.- Part II: The Papers.- 6 B-Orbits of 2-Nilpotent Matrices.- 7 The Weyl Denominator Identity for Finite-Dimensional Lie Superalgebras.- 8 Hopf Algebras and Frobenius Algebras in Finite Tensor Categories.- 9 Mutation Classes of 3 x 3 Generalized Cartan Matrices.- 10 Contractions and Polynomial Lie Algebras.

Reihe/Serie Progress in Mathematics ; 295
Zusatzinfo 4 Illustrations, black and white; XV, 227 p. 4 illus.
Verlagsort Secaucus
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Mathematik Allgemeines / Lexika
Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Geometrie / Topologie
Schlagworte Kac–Moody superalgebras • Lie algebraic methods • Representation Theory • spherical varieties • vertex algebras
ISBN-10 0-8176-8273-2 / 0817682732
ISBN-13 978-0-8176-8273-6 / 9780817682736
Zustand Neuware
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