Représentations unitaires irréductibles des groupes simples complexes de rang deux

DOI10.24033/bsmf.1885zbMath0407.22014OpenAlexW2584334421MaRDI QIDQ4193682

Michel Duflo

Publication date: 1979

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1979__107__55_0

zbMATH Keywords

Degenerate Principal Series of RepresentationsIrreducibility Of RepresentationsSimple Complex Lie Groups of Rank Two

Mathematics Subject Classification ID

Semisimple Lie groups and their representations (22E46) Unitary representations of locally compact groups (22D10) General properties and structure of complex Lie groups (22E10)

Related Items

Classification of minimal representations of real simple Lie groups, Dirac series for complex \(E_7\), The unitary dual of \(p\)-adic \(G_2\), Unitary spherical representations of Drinfeld doubles, Unnamed Item, On the Helgason-Johnson bound, The unitary dual of \(Gl(3,R)\) and \(Gl(4,R)\), Multiplicity-free primitive ideals associated with rigid nilpotent orbits, The unitary dual for complex classical Lie groups, On quantization of a nilpotent orbit closure in $G_2$, Unitary representations with Dirac cohomology: a finiteness result for complex Lie groups, \(K\)-theory of the full \(C^*\)-algebra of \(SL_{3}(\mathbb C)\), Irreducible unitary representations of \(\mathrm{SU}(2,2)\), The unitary dual of \(G_ 2\)

Cites Work

• Sur la classification des idéaux primitifs dans l'algèbre enveloppante d'une algèbre de Lie semi-simple
• On the annihilators of the simple subquotients of the principal series
• On the representations of $SL \left( {3, C} \right)$, I
• The Dual of a Parabolic Subgroup and a Degenerate Principal Series of Sp(n, C)
• IRREDUCIBLE UNITARY REPRESENTATIONS OF THE GROUP $ GL(3,\mathbf R)$ OF REAL MATRICES OF THE THIRD ORDER
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