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

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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

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.

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Title:
Representations of nilpotent groups: extensions, neutral cohomology, and Pontryagin spaces
Creators:
Kissin, Edward and Shulman, Victor S.
Identification Number:
https://doi.org/10.1007/s10688-015-0109-9
Official URL:
http://dx.doi.org/10.1007/s10688-015-0109-9
Date:
17 July 2015
Subjects:
500 Natural Sciences and Mathematics > 510 Mathematics
Department:
School of Computing and Digital Media
Publisher:
Springer Verlag
Uncontrolled Keywords:
extension of representation, Pontryagin space, Engel element, neutral cocycle
Record
URI:
https://repository.londonmet.ac.uk/id/eprint/1015
Item Type:
Article
Depositing User:
Edward Kissin
Date Deposited:
16 Jun 2016 09:14
Revision:
14
Last Modified:
04 Jun 2020 13:21
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