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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2023 Number 6, Pages 95–100 (Mi ivm9892)

This article is cited in 1 paper

Brief communications

Non-alternating Hamiltonian forms over a divided power algebra in characteristic $2$

A. V. Kondratieva, M. I. Kuznetsov

National Research Lobachevsky State University of Nizhny Novgorod, 23 Gagarin Ave., Nizhny Novgorod, 603022 Russia

Abstract: 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.

UDC: 512.554

Received: 10.05.2023
Revised: 10.05.2023
Accepted: 29.05.2023

DOI: 10.26907/0021-3446-2023-6-95-100



© Steklov Math. Inst. of RAS, 2024