Unitary Representations of Reductive Lie Groups. (AM-118)

unitary representations universal enveloping algebra metaplectic representation discrete series primitive ideals unipotent representations Borel-Weil theorem real reductive Lie group Kirillov orbit method Langlands' principle of functoriality

Mathematics Subject Classification ID

Representations of finite symmetric groups (20C30) Universal enveloping (super)algebras (17B35) Unitary representations of locally compact groups (22D10) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Research exposition (monographs, survey articles) pertaining to topological groups (22-02)

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