Representations of nilpotent groups: extensions, neutral cohomology, and Pontryagin spaces
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...
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| Format: | Article |
| Language: | English |
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Springer Verlag
2015
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| Online Access: | https://repository.londonmet.ac.uk/1015/1/OFFPRINT%20Kissin%20and%20Shul%27man%20-%20Representations%20of%20Nilpotent%20groups....pdf |
| _version_ | 1804071616460619776 |
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| author | Kissin, Edward Shulman, Victor S. |
| author_facet | Kissin, Edward Shulman, Victor S. |
| author_sort | Kissin, Edward |
| collection | LMU |
| description | 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. |
| first_indexed | 2024-07-09T03:46:05Z |
| format | Article |
| id | oai:repository.londonmet.ac.uk:1015 |
| institution | London Metropolitan University |
| language | English |
| last_indexed | 2024-07-09T03:46:05Z |
| publishDate | 2015 |
| publisher | Springer Verlag |
| record_format | eprints |
| spelling | oai:repository.londonmet.ac.uk:10152020-06-04T13:21:51Z http://repository.londonmet.ac.uk/1015/ Representations of nilpotent groups: extensions, neutral cohomology, and Pontryagin spaces Kissin, Edward Shulman, Victor S. 510 Mathematics 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. Springer Verlag 2015-07-17 Article PeerReviewed text en https://repository.londonmet.ac.uk/1015/1/OFFPRINT%20Kissin%20and%20Shul%27man%20-%20Representations%20of%20Nilpotent%20groups....pdf 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 http://dx.doi.org/10.1007/s10688-015-0109-9 10.1007/s10688-015-0109-9 |
| spellingShingle | 510 Mathematics Kissin, Edward Shulman, Victor S. Representations of nilpotent groups: extensions, neutral cohomology, and Pontryagin spaces |
| title | Representations of nilpotent groups: extensions, neutral cohomology, and Pontryagin spaces |
| title_full | Representations of nilpotent groups: extensions, neutral cohomology, and Pontryagin spaces |
| title_fullStr | Representations of nilpotent groups: extensions, neutral cohomology, and Pontryagin spaces |
| title_full_unstemmed | Representations of nilpotent groups: extensions, neutral cohomology, and Pontryagin spaces |
| title_short | Representations of nilpotent groups: extensions, neutral cohomology, and Pontryagin spaces |
| title_sort | representations of nilpotent groups extensions neutral cohomology and pontryagin spaces |
| topic | 510 Mathematics |
| url | https://repository.londonmet.ac.uk/1015/1/OFFPRINT%20Kissin%20and%20Shul%27man%20-%20Representations%20of%20Nilpotent%20groups....pdf |
| work_keys_str_mv | AT kissinedward representationsofnilpotentgroupsextensionsneutralcohomologyandpontryaginspaces AT shulmanvictors representationsofnilpotentgroupsextensionsneutralcohomologyandpontryaginspaces |