Représentations monomiales des groupes de Lie nilpotents. (Monomial representations of nilpotent Lie groups)

DOI10.2140/PJM.1987.127.329zbMath0588.22008OpenAlexW1979545278MaRDI QIDQ1073193

Hidenori Fujiwara

Publication date: 1987

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1987.127.329

zbMATH Keywords

Plancherel formulaunitary representationnilpotent Lie groupsinduced representationmonomial representationsmethod of orbitsfinite multiplicities

Mathematics Subject Classification ID

Representations of nilpotent and solvable Lie groups (special orbital integrals, non-type I representations, etc.) (22E27) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Nilpotent and solvable Lie groups (22E25)

Related Items (11)

Analysis of restrictions of unitary representations of a nilpotent Lie group ⋮ Unnamed Item ⋮ Modules simples sur une algèbre de Lie nilpotente contenant un vecteur propre pour une sous-algèbre ⋮ A proof of the polynomial conjecture for restrictions of nilpotent lie groups representations ⋮ A unified approach to concrete Plancherel theory of homogeneous spaces ⋮ Unnamed Item ⋮ Commutativity of invariant differential operators on nilpotent homogeneous spaces with finite multiplicity ⋮ A proof of the polynomial conjecture for nilpotent Lie groups monomial representations ⋮ Disintegrating tensor representations of nilpotent Lie groups ⋮ Spectral decomposition of invariant differential operators on certain nilpotent homogeneous spaces ⋮ The Penney-Fujiwara Plancherel formula for Gelfand pairs

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