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Highlights in Lie Algebraic Methods

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Gebonden, 227 blz. | Engels
Birkhäuser Boston | 2012e druk, 2011
ISBN13: 9780817682736
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Birkhäuser Boston 2012e druk, 2011 9780817682736
Onderdeel van serie Progress in Mathematics
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Samenvatting

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. 

Specificaties

ISBN13:9780817682736
Taal:Engels
Bindwijze:gebonden
Aantal pagina's:227
Druk:2012

Inhoudsopgave

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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        Highlights in Lie Algebraic Methods