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Introduction to Lie algebras : finite and infinite dimension /



xxv, 514 pages : illustrations ; 26 cm - (Graduate studies in mathematics ; volume 248) Content notes : Algebras -- Examples of Lie algebras -- Lie groups -- Lie algebra basics -- Cartan decomposition -- Semisimple Lie algebras -- Root systems -- PBW and free Lie algebras -- Chevalley bases -- Kac-Moody Lie algebras -- Integrable representations -- Character theory -- Infinite-dimensional Lie algebras -- Virasoro algebra. Kac-Moody algebras. Infinite-dimensional Lie algebras. Representation theory. Mathematical physics.

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