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.
Inhaltsverzeichnis
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.
