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arXiv · 2101.00398

Non-alternating Hamiltonian Lie algebras in three variables

A. V. Kondrateva
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Abstract

Non-alternating Hamiltonian Lie algebras in three variables over a perfect field of characteristic 2 are considered. A classification of non-alternating Hamiltonian forms over an algebra of divided powers in three variables and of the corresponding simple Lie algebras is given. In particular, it is shown that the non-alternating Hamiltonian form may not be equivalent to its linear part. It is proved that the Lie algebras which correspond to the nonequivalent forms are not isomorphic.

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A. V. Kondrateva. 2021-01-02. Non-alternating Hamiltonian Lie algebras in three variables. https://arxiv.org/abs/2101.00398

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