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// 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
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References
©
Steklov Math. Inst. of RAS
, 2024