Lie groups

zbMath0955.22001MaRDI QIDQ5917963

Publication date: 20 January 2000

Published in: Universitext (Search for Journal in Brave)

Lie groups Lie algebras flag manifolds holomorphic line bundles compact Lie groups Peter-Weyl theorem Borel-Weil theorem highest weight theorem representation of compact groups

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Differential geometry of homogeneous manifolds (53C30) Analysis on real and complex Lie groups (22E30) Loop groups and related constructions, group-theoretic treatment (22E67) Semisimple Lie groups and their representations (22E46) Lie algebras of Lie groups (22E60) General properties and structure of complex Lie groups (22E10) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) General properties and structure of real Lie groups (22E15) Analysis on other specific Lie groups (43A80) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to topological groups (22-01)

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