Transposed Poisson ultra algebras

In this paper, we introduce transposed Poisson structures on the Heisenberg-Virasoro ultra algebra. We obtain a result that tells us that there are no non-trivial 1/2-ultra derivations on the Heisenberg-Virasoro ultra algebra and, as a consequence, we show that there are no non-trivial transposed Poisson ultra algebra structures defined on the Heisenberg-Virasoroultra algebra.

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Publication Details

Journal
Proyecciones (Antofagasta)
Published
2025-09-02
DOI
https://doi.org/10.22199/issn.0717-6279-6595
Primary Topic
Advanced Topics in Algebra
Type
article
Field-Weighted Citation Impact
0.00

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article

Transposed Poisson ultra algebras

Aline Jaqueline de Oliveira Andrade, Bruno Leonardo Macedo Ferreira
Proyecciones (Antofagasta)
Advanced Topics in Algebra
article

Transposed Poisson ultra algebras

Aline Jaqueline de Oliveira Andrade, Bruno Leonardo Macedo Ferreira
article en

Abstract

In this paper, we introduce transposed Poisson structures on the Heisenberg-Virasoro ultra algebra. We obtain a result that tells us that there are no non-trivial 1/2-ultra derivations on the Heisenberg-Virasoro ultra algebra and, as a consequence, we show that there are no non-trivial transposed Poisson ultra algebra structures defined on the Heisenberg-Virasoroultra algebra.

Proyecciones (Antofagasta)Vol. 44(5)
Universidade Tecnológica Federal do Paraná (BR)
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
Openalex Percentile: Top 70%
Advanced Topics in Algebra
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