Highlights in Lie Algebraic Methods

Inbunden, Engelska, 2011

Del 295 i serien Progress in Mathematics

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2011-10-19
Mått:155 x 235 x 17 mm
Vikt:535 g
Format:Inbunden
Språk:Engelska
Serie:Progress in Mathematics
Antal sidor:227
Upplaga:2012
Förlag:Birkhauser Boston Inc
ISBN:9780817682736

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Recensioner i media

Aus den Rezensionen: "... bietet mit den Kursausarbeitungen eine gute Einstiegsmoglichkeit fur interessierte Leser, die die algebraische Lie Theorie besser kennenlernen wollen." (D. BURDE, in: Monatshefte fur Mathematik, Januar/2013, Vol. 169, Issue 1, S. 122 f.)

Innehållsförteckning

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.