COHOMOLOGY OF GROUPS IN UNITARY REPRESENTATIONS, THE NEIGHBORHOOD OF THE IDENTITY, AND CONDITIONALLY POSITIVE DEFINITE FUNCTIONS

DOI10.1070/SM1984v047n02ABEH002656zbMath0528.43005OpenAlexW2070489360MaRDI QIDQ3310341

S. I. Karpushev, Anatoly M. Vershik

Publication date: 1984

Published in: Mathematics of the USSR-Sbornik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm1984v047n02abeh002656

zbMATH Keywords

barkirreducible representationcohomologyunitary representationconditionally positive definite functioninfinitesimal representationLie cone

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Harmonic analysis on homogeneous spaces (43A85) Unitary representations of locally compact groups (22D10) Representations of groups, semigroups, etc. (aspects of abstract harmonic analysis) (43A65) Positive definite functions on groups, semigroups, etc. (43A35) Continuous cohomology of Lie groups (22E41) Character groups and dual objects (43A40)

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