Cohomology of groups with normal Engel subgroups by Kissin, Edward, Shulman, Victor S.

“…The paper contains several results on the structure of 1-cocycles and the first cohomology group for a pair of representations of a connected group with a normal Engel subgroup.…”
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On cohomologies and representations of groups with normal Engel subgroups by Kissin, Edward, Shulman, Victor

“…The paper studies triviality conditions for the cohomology group H1(G; lambda;U) when lambda and U are sectionally spectrally disjoint and examines some decompositions of the extension e(lambda; U; ksi) of lambda by U associated with non-trivial (lambda; U)-cocycles ksi.…”
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Cohomology and extensions of representations of groups with normal Engel subgroups by Kissin, Edward, Shulman, Victor

“…The paper studies the first cohomology group H1 (G, λ, U) under various spectral type conditions imposed on the restrictions of λ, U to N. …”
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Representations of nilpotent groups: extensions, neutral cohomology, and Pontryagin spaces by Kissin, Edward, Shulman, Victor S.

“…Spectral criteria for the cohomological triviality of extensions of representations of connected nilpotent groups are obtained. …”
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Non-unitary representations of nilpotent groups, I: Cohomologies, extensions and neutral cocycles by Kissin, Edward, Shulman, Victor S.

“…We investigate the structure of the extensions of λby Uand, correspondingly, the group H1(λ, U)of 1-cohomologies. A spectral criterion of triviality of H1(λ, U)is proved and systematically used in the study of various types of decomposition of the extensions. …”
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Representations of nilpotent groups on spaces with indefinite metric by Kissin, Edward, Shulman, Victor S.

“…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.…”
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