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PreprintCC BY-NC-SA 4.0arXiv

BiHom-Poisson conformal superalgebras arising from related algebraic structures

  • BakolÈ Louamou
  • Ibrahima Bakayoko
  • Kol BÉatrice Gamou
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Abstract

Inspired from some works on constructions of algebraic structures from other ones, we purpose to give some construction theorems on BiHom-Poisson conformal superalgebras which unify the notion of the Z2 -graded Poisson algebras, the BiHom-Poisson algebras and their conformal setting. So, we introduce BiHom-Poisson conformal superalgebras and show that they are closed under twisting. We then prouve that any regular BiHom-associative conformal algebra leads to BiHom-Poisson conformal algebra via the commutator bracket. Then, we point out that any BiHom-Poisson conformal superalgebra together with Rota-Baxter operator give rises to another BiHom-Poisson conformal superalgebra. Next, we show that tensor prod- uct of any BiHom-associative superalgebra and any BiHom-Poisson conformal superalgebra is also a BiHom-Poisson conformal superalgebra. Contruction from Hom-post-Poisson conformal superalgebras is also given.

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Cite

BibTeXRIS
BibTeX
@misc{louamou2026bihompoisson,
  title = {{BiHom-Poisson conformal superalgebras arising from related algebraic structures}},
  author = {BakolÈ Louamou and Ibrahima Bakayoko and Kol BÉatrice Gamou},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.11661},
  eprint = {2610.11661},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.11661},
  note = {CC BY-NC-SA 4.0},
}
RIS
TY  - UNPB
TI  - BiHom-Poisson conformal superalgebras arising from related algebraic structures
AU  - BakolÈ Louamou
AU  - Ibrahima Bakayoko
AU  - Kol BÉatrice Gamou
PY  - 2026
DA  - 2026/10/08
PB  - arXiv
DO  - 10.48550/arxiv.2610.11661
UR  - https://arxiv.org/abs/2610.11661
AB  - Inspired from some works on constructions of algebraic structures from other ones, we purpose to give some construction theorems on BiHom-Poisson conformal superalgebras which unify the notion of the Z2 -graded Poisson algebras, the BiHom-Poisson algebras and their conformal setting. So, we introduce BiHom-Poisson conformal superalgebras and show that they are closed under twisting. We then prouve that any regular BiHom-associative conformal algebra leads to BiHom-Poisson conformal algebra via the commutator bracket. Then, we point out that any BiHom-Poisson conformal superalgebra together with Rota-Baxter operator give rises to another BiHom-Poisson conformal superalgebra. Next, we show that tensor prod- uct of any BiHom-associative superalgebra and any BiHom-Poisson conformal superalgebra is also a BiHom-Poisson conformal superalgebra. Contruction from Hom-post-Poisson conformal superalgebras is also given.
ER  -