Highlights in Lie Algebraic Methods

Herausgegeben von Melnikov, Anna; Joseph, Anthony; Penkov, Ivan

• Gebundenes Buch

Produktbeschreibung

This volume highlights the various Lie algebraic methods used in mathematical research today. Key topics include spherical varieties, vertex algebras, Littelmann Paths and Kac-Moody Borcherds algebras, finite W-algebras, modular representations and primitive ideals.

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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.

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Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.

Produktdetails

• Progress in Mathematics 295
• Verlag: Birkhäuser / Birkhäuser Boston / Springer, Basel
• Artikelnr. des Verlages: 80074185, 978-0-8176-8273-6
• 2012
• Seitenzahl: 244
• Erscheinungstermin: 19. Oktober 2011
• Englisch
• Abmessung: 241mm x 160mm x 17mm
• Gewicht: 510g
• ISBN-13: 9780817682736
• ISBN-10: 0817682732
• Artikelnr.: 33617246

Inhaltsangabe

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.

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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.