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

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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

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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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