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Highlights in Lie Algebraic Methods

Anthony Joseph, Anna Melnikov, Ivan Penkov (Herausgeber)

Buch | Hardcover

227 Seiten

2011
Birkhauser Boston Inc (Verlag)
978-0-8176-8273-6 (ISBN)

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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