Geodesic
Representations of Nilpotent Groups: Extensions, Neutral Cohomology, and Pontryagin Spaces
Funkcionalʹnyj analiz i ego priloženiâ, Tome 49 (2015) no. 3, pp. 79-83

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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.
Keywords: extension of representation, Pontryagin space, Engel element, neutral cocycle. 
@article{FAA_2015_49_3_a8,
     author = {\`E. V. Kissin and V. S. Shulman},
     title = {Representations of {Nilpotent} {Groups:} {Extensions,} {Neutral} {Cohomology,} and {Pontryagin} {Spaces}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {79--83},
     publisher = {mathdoc},
     volume = {49},
     number = {3},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2015_49_3_a8/}
}
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È. V. Kissin; V. S. Shulman. Representations of Nilpotent Groups: Extensions, Neutral Cohomology, and Pontryagin Spaces. Funkcionalʹnyj analiz i ego priloženiâ, Tome 49 (2015) no. 3, pp. 79-83. http://geodesic.mathdoc.fr/item/FAA_2015_49_3_a8/