scientific article

zbMath0513.43009MaRDI QIDQ3658510

S. I. Karpushev, Anatoly M. Vershik

Publication date: 1982

Full work available at URL: https://eudml.org/doc/71433

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

barkirreducible representationcohomologyunitary representationsconditionally positive definite functionLie coneinfinitesimal representations

Mathematics Subject Classification ID

Harmonic analysis on homogeneous spaces (43A85) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Positive definite functions on groups, semigroups, etc. (43A35) Character groups and dual objects (43A40)

Related Items

The Poisson model of the Fock space and representations of current groups ⋮ Geometry of dual spaces of reductive groups (non-Archimedean case) ⋮ A commutative model of a representation of the group \(O(n, 1)^{X}\) and a generalized Lebesgue measure in the space of distributions ⋮ Representations of currents taking values in a totally disconnected group ⋮ Non-commutative moment problems ⋮ Infinitely divisible states, 1-cocycles and conditionally positive functionals on algebras ⋮ Cohomology in nonunitary representations of semisimple Lie groups (the group \(U(2,2)\)) ⋮ Harmonic analysis, cohomology, and the large-scale geometry of amenable groups ⋮ Integral models of representations of current groups ⋮ Integral models of unitary representations of current groups with values in semidirect products ⋮ Conditionally positive-definite functions on locally compact groups and the Levy-Khinchin formula