Geodesic
Non-alternating Hamiltonian forms over a divided power algebra in characteristic~$2$
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2023), pp. 95-100

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A classification of nonalternating Hamiltonian forms with coefficients in a divided power algebra over a perfect field $K$ of characteristic $2$ is given. A description of the corresponding simple Lie algebras are found. A complete system of invariants of nonalternating symmetric bilinear forms over $K$ is constructed.
Keywords: field of characteristic $2$, non-alternating Hamiltonian form, Lie algebra. 
@article{IVM_2023_6_a8,
     author = {A. V. Kondratieva and M. I. Kuznetsov},
     title = {Non-alternating {Hamiltonian} forms over a divided power algebra in characteristic~$2$},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {95--100},
     publisher = {mathdoc},
     number = {6},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2023_6_a8/}
}
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A. V. Kondratieva; M. I. Kuznetsov. Non-alternating Hamiltonian forms over a divided power algebra in characteristic~$2$. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2023), pp. 95-100. http://geodesic.mathdoc.fr/item/IVM_2023_6_a8/