Nonalternating Hamiltonian forms over a divided power algebra of characteristic 2

DOI10.3103/S1066369X23060038OpenAlexW4386824082MaRDI QIDQ6086836

Michael Kuznetsov, A. V. Kondrateva

Publication date: 10 November 2023

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x23060038

zbMATH Keywords

Lie algebrafield of characteristic 2nonalternating Hamiltonian form

Mathematics Subject Classification ID

Nonassociative rings and algebras (17-XX) Basic linear algebra (15Axx) Lie algebras and Lie superalgebras (17Bxx)

Cites Work

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• Non-alternating Hamiltonian Lie algebras of characteristic two in three variables
• Hamiltonian differential forms over the divided powers algebra
• Non-alternating hamiltonian algebraP(n,m)of characteristic two
• DESCRIPTION OF FILTERED LIE ALGEBRAS WITH WHICH GRADED LIE ALGEBRAS OF CARTAN TYPE ARE ASSOCIATED
• GRADED LIE ALGEBRAS OF FINITE CHARACTERISTIC
• Analogs of the Orthogonal, Hamiltonian, Poisson, and Contact Lie Superalgebras in Characteristic 2
• CLASSIFICATION OF HAMILTONIAN FORMS OVER DIVIDED POWER ALGEBRAS
• Simple Lie algebras over fields of positive characteristic. I: Structure theory

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