Transposed Poisson structures on Virasoro-type algebras

2024/06/21 by Kaygorodov, Ivan, Khudoyberdiyev, Abror, Shermatova, Zarina · 3 citations
#FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.2406.15532

Abstract

We compute (1)/(2)-derivations on the deformed generalized Heisenberg-Virasoro algebras and on not-finitely graded Heisenberg-Virasoro algebras \widehatW_n(G), \widetildeW_n(G), and \widetildeHW_n(G). We classify all transposed Poisson structures on such algebras.

Cited by

• Transposed Poisson Structures on Two Nambu 3-Lie Algebras
• Transposed δ-Poisson algebra structures on null-filiform associative algebras
• Matched pairs and double construction bialgebras of (transposed) Poisson 3-Lie algebras

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