Dual coalgebras of Jacobian \(n\)-Lie algebras over polynomial rings

DOI10.1134/s0037446623050087MaRDI QIDQ6046802

Viktor Nikolaevich Zhelyabin, Pavel Sergeevich Kolesnikov

Publication date: 6 October 2023

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

JacobiancoalgebraPoisson bracketFilippov algebra

Mathematics Subject Classification ID

Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Lie bialgebras; Lie coalgebras (17B62) Poisson algebras (17B63) Other (n)-ary compositions ((n ge 3)) (17A42)

Cites Work

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• An example of a non-zero Lie coalgebra M for which \(Loc(M)=0\)
• The structure of the dual Lie coalgebra of the Witt algebra
• Identities of the left-symmetric Witt algebras
• Embedding of Jordan Copairs into Lie Coalgebras
• The kantor construction of jordan superalgebras
• The Kantor-Koecher-Tits Construction for Jordan Coalgebras
• Nonassociative coalgebras
• Local finiteness of coalgebraic Lie coalgebras

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