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This book is a compilation of several works from well-recognized figures in the field of Representation Theory. The presentation of the topic is unique in offering several different points of view, which should makethe book very useful to students and experts alike.Presents several different points of view on key topics in representation theory, from internationally known experts in the field
Lie groups. --- Representations of groups. --- Group representation (Mathematics) --- Groups, Representation theory of --- Groups, Lie --- Group theory --- Lie algebras --- Symmetric spaces --- Topological groups --- Lie, Groupes de --- Lie, Algèbres de. --- Lie groups --- Representations of Lie groups --- Representations of Lie algebras --- Représentations de groupes de Lie. --- Représentations d'algèbres de Lie.
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This volume is an attempt to provide an overview of some of the recent advances in representation theory from a geometric standpoint. A geometrically-oriented treatment is very timely and has long been desired, especially since the discovery of D-modules in the early '80s and the quiver approach to quantum groups in the early '90s.
Group theory --- Algebraic geometry --- Differential geometry. Global analysis --- Ordered algebraic structures --- Géométrie différentielle --- Géométrie algébrique --- Représentations de groupes --- Variétés symplectiques --- Geometry, Differential --- Symplectic manifolds --- Representations of groups --- Geometry, Algebraic --- 514.1 --- 514.1 General geometry --- General geometry --- Manifolds, Symplectic --- Manifolds (Mathematics) --- Group representation (Mathematics) --- Groups, Representation theory of --- Differential geometry --- Geometry
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