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Funktsional. Anal. i Prilozhen., 2015, Volume 49, Issue 3, Pages 79–83 (Mi faa3208)  

Brief communications

Representations of Nilpotent Groups: Extensions, Neutral Cohomology, and Pontryagin Spaces

È. V. Kissina, V. S. Shulmanb

a London Metropolitan University
b Vologda State University

Abstract: Spectral criteria for the cohomological triviality of extensions of representations of connected nilpotent groups are obtained. They are applied to the study of symmetrized extensions of unitary representations by finite-dimensional representations and to the theory of $J$-unitary representations of groups on Pontryagin spaces.

Keywords: extension of representation, Pontryagin space, Engel element, neutral cocycle

DOI: https://doi.org/10.4213/faa3208

Full text: PDF file (185 kB)
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English version:
Functional Analysis and Its Applications, 2015, 49:3, 222–225

Bibliographic databases:

UDC: 512.5
Received: 27.08.2014

Citation: È. V. Kissin, V. S. Shulman, “Representations of Nilpotent Groups: Extensions, Neutral Cohomology, and Pontryagin Spaces”, Funktsional. Anal. i Prilozhen., 49:3 (2015), 79–83; Funct. Anal. Appl., 49:3 (2015), 222–225

Citation in format AMSBIB
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