Representations of nilpotent groups: Extensions, neutral cohomology, and Pontryagin spaces

Kissin, Edward and Shulman, Victor S. (2015) Representations of nilpotent groups: Extensions, neutral cohomology, and Pontryagin spaces. Functional Analysis and Its Applications, 49 (3). pp. 222-225. ISSN 0016-2663

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Official URL: http://dx.doi.org/10.1007/s10688-015-0109-9

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.

Item Type: Article
Uncontrolled Keywords: extension of representation, Pontryagin space, Engel element, neutral cocycle
Subjects: 500 Natural Sciences and Mathemetics > 510 Mathematics
Department: School of Computing and Digital Media
Depositing User: Edward Kissin
Date Deposited: 16 Jun 2016 09:14
Last Modified: 12 Oct 2016 09:17
URI: http://repository.londonmet.ac.uk/id/eprint/1015

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