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Nonalternating Hamiltonian Forms over a Divided Power Algebra of Characteristic 2

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Abstract

A classification of nonalternating Hamiltonian forms with coefficients in a divided power algebra over a perfect field \(K\) of characteristic 2 is given. Corresponding simple Lie algebras are described. A complete system of invariants of nonalternating symmetric bilinear forms over \(K\) is constructed.

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Funding

This study was supported financially by the Ministry of Education and Science of the Russian Federation, project no. FSWR-2023-0034.

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Authors and Affiliations

  1. Lobachevsky State University of Nizhny Novgorod, 603022, Nizhny Novgorod, Russia

    A. V. Kondrateva & M. I. Kuznetsov

Authors
  1. A. V. Kondrateva
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  2. M. I. Kuznetsov
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Correspondence to A. V. Kondrateva or M. I. Kuznetsov.

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The authors declare that they have no conflicts of interest.

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Translated by V. Arutyunyan

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Kondrateva, A.V., Kuznetsov, M.I. Nonalternating Hamiltonian Forms over a Divided Power Algebra of Characteristic 2. Russ Math. 67, 82–87 (2023). https://doi.org/10.3103/S1066369X23060038

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  • DOI: https://doi.org/10.3103/S1066369X23060038

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