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Method of orbits in the theory of unitary representations of Lie groups

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Publication:2538870
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DOI10.1007/BF01075365zbMath0194.33804WikidataQ115394430 ScholiaQ115394430MaRDI QIDQ2538870

Alexandre Kirillov

Publication date: 1968

Published in: Functional Analysis and its Applications (Search for Journal in Brave)


zbMATH Keywords

group theory



Related Items (11)

On localization and regularization ⋮ Characters of some unitary highest weight representations via the theta correspondence ⋮ Lectures on Poisson Algebras ⋮ Representations of nilpotent groups: extensions, neutral cohomology, and Pontryagin spaces ⋮ Quasi-reductive (bi)parabolic subalgebras in reductive Lie algebras ⋮ Representations of complex semisimple Lie groups ⋮ Characters of Lie groups. II: Real polarizations and the orbital-integral character formula ⋮ Kirillov's character formula for reductive Lie groups ⋮ The characters of unitary representations of Lie groups ⋮ Characters of the unitary representations of Lie groups: reduction theorems ⋮ Representations of the principal series of a complex semisimple Lie group



Cites Work

  • Unnamed Item
  • Structure of the Gleason part of the algebra \(R(E)\)
  • Quantization and representations of solvable Lie groups


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