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Funktsional'nyi Analiz i ego Prilozheniya, 2015, Volume 49, Issue 3, Pages 79–83
DOI: https://doi.org/10.4213/faa3208 (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
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DOI: https://doi.org/10.4213/faa3208
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.
Received: 27.08.2014
English version:
Functional Analysis and Its Applications, 2015, Volume 49, Issue 3, Pages 222–225
DOI: https://doi.org/10.1007/s10688-015-0109-9
Bibliographic databases:
Document Type: Article
UDC: 512.5
Language: Russian
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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  • https://www.mathnet.ru/eng/faa/v49/i3/p79
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    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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