Representations of nilpotent groups on spaces with indefinite metric

DOI10.1007/s00020-016-2337-7zbMath1364.22006OpenAlexW2564087920MaRDI QIDQ526745

Edward Kissin, Viktor S. Shul'man

Publication date: 15 May 2017

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: http://repository.londonmet.ac.uk/1195/7/REPRESENTATIONS%20OF%20NILPOTENT%20ON%20SPACES%20WITH%20INDEFINITE%20METRIC.pdf

zbMATH Keywords

nilpotent grouprepresentationPontryagin space\(J\)-decomposable\(J\)-unitary representationspace with indefinite metric

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Other representations of locally compact groups (22D12)

Related Items (2)

Cohomology and extensions of representations of groups with normal Engel subgroups ⋮ On representations of groups and algebras in spaces with indefinite metric

Cites Work

• Non-unitary representations of nilpotent groups. I: Cohomologies, extensions and neutral cocycles
• Indecomposable representations with invariant inner product. A theory of the Gupta-Bleuler triplet
• FIXED POINTS OF HOLOMORPHIC TRANSFORMATIONS OF OPERATOR BALLS
• Infrared and vacuum structure in two-dimensional local quantum field theory models. The massless scalar field
• UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
• Infinite infrared regularization and a state space for the Heisenberg algebra
• On unitary representations of solvable groups in spaces with an indefinite metric
• Irreducible representations of the discrete group 𝑆𝐿(2,𝑃) which are unitary in an indefinite metric
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