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On Representations of Groups and Algebras in Spaces with Indefinite Metric

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The paper contains a survey of known results on the structure of J-symmetric operator algebras in Pontryagin and Krein spaces, as well as on representations of groups and *-algebras in these spaces.

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  1. STORM/SCDM, London Metropolitan University, London, UK

    E. V. Kissin

  2. Vologda State University, Vologda, Russia

    V. S. Shulman

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Correspondence to E. V. Kissin.

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To the blessed memory of Nikolai Dmitrievich Kopachevskii, a remarkable Mathematician and Human.

Translated from Sovremennaya Matematika. Fundamental’nye Napravleniya (Contemporary Mathematics. Fundamental Directions), Vol. 67, No. 2, Dedicated to the memory of Professor N. D. Kopachevsky, 2021.

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Kissin, E.V., Shulman, V.S. On Representations of Groups and Algebras in Spaces with Indefinite Metric. J Math Sci 278, 91–107 (2024). https://doi.org/10.1007/s10958-024-06907-6

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