On Heisenberg-Virasoro pseudoalgebras
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DOI: 10.1063/5.0232329
Abstract: In this paper, we introduce and study a class of neither simple nor semi-simple Lie H-pseudoalgebras which can be seen as an extension of the primitive pseudoalgebras of vector fields H(δ, χ, ω) or K(δ,… read more here.
Keywords: heisenberg virasoro; virasoro pseudoalgebras;
The deformed twisted Heisenberg–Virasoro type Lie bialgebra
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DOI: 10.1080/00927872.2020.1722824
Abstract: Abstract In this article, we investigate Lie bialgebra structures on the deformed twisted Heisenberg–Virasoro Lie algebra. Sufficient and necessary conditions for this type Lie bialgebra structures to be triangular coboundary are given. Communicated by K.… read more here.
Keywords: lie bialgebra; lie; heisenberg virasoro; twisted heisenberg ... See more keywords
1/2-superderivation and transposed Poisson structures on the super Heisenberg-Virasoro algebra
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DOI: 10.2298/fil2424511y
Abstract: We describe transposed Poisson structures on the super Heisenberg-Virasoro algebra. We show that the super Heisenberg-Virasoro algebra does not admit non-trivial 1/2 -superderivations, and consequently it does not possess non-trivial transposed Poisson structures. read more here.
Keywords: poisson structures; algebra; virasoro algebra; transposed poisson ... See more keywords