Representations of nilpotent groups on spaces with indefinite metric

Kissin, Edward and Shulman, Victor S. (2016) Representations of nilpotent groups on spaces with indefinite metric. Journal of Integral Equations and Operator Theory. ISSN 0378-620X

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REPRESENTATIONS OF NILPOTENT ON SPACES WITH INDEFINITE METRIC.pdf - Accepted Version

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Official URL: http:// DOI 10.1007/s00020-016-2337-7

Abstract

The paper studies the structure of J-unitary representations of connected nilpotent groups on Πk-spaces, that is, the representations on a Hilbert space preserving a quadratic form “with a finite number of negative squares”. Apart from some comparatively simple cases, such representations can be realized as double extensions of finite-dimensional representations by unitary ones. So their study is based on some special cohomological technique. We concentrate mostly on the problems of the decomposition of these representations and the classification of “non-decomposable” ones.

Item Type: Article
Uncontrolled Keywords: Hilbert space; nilpotent groups; indefinite metric
Subjects: 500 Natural Sciences and Mathemetics > 510 Mathematics
Department: School of Computing and Digital Media
Depositing User: Edward Kissin
Date Deposited: 25 Jan 2017 09:39
Last Modified: 12 Jul 2017 11:49
URI: http://repository.londonmet.ac.uk/id/eprint/1195

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