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

Izv. Vyssh. Uchebn. Zaved. Mat., 2024 Number 9, Pages 100–105 (Mi ivm10019)

Brief communications

Filtered deformations of graded non-alternating Hamiltonian Lie algebras

A. V. Kondrateva, M. I. Kuznetsov

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

Abstract: We give the description of filtered Lie algebras over a perfect field of characteristic 2, to which graded non-alternating Hamiltonian Lie algebras are associated. Derivations and automorphisms of filtered Lie algebras are found.

Keywords: field of characteristic 2, graded nonalternating Hamiltonian Lie algebra, filtered Lie algebra.

UDC: 512.554

Received: 28.04.2024
Revised: 28.04.2024
Accepted: 26.06.2024

DOI: 10.26907/0021-3446-2024-9-100-105



© Steklov Math. Inst. of RAS, 2024