Transposed Poisson superalgebra structures ontwisted N = 1 Block–Lie superalgebra
We investigate the transposed Poisson superalgebra structures on the twisted N = 1 Block-Lie superalgebra S( p, q), where p and q are arbitrary complex numbers.We obtain that S( p, q) admits only trivial transposed Poisson superalgebra structure for q = 0 or p / , while S( p, q) has nontrivial transposed Poisson superalgebra structures for q = 0 and p , which are nonisomorphic with respect to p .
Authors
- Jiancai Sun (ORCID: https://orcid.org/0000-0002-2493-5877)
- An Huang (ORCID: https://orcid.org/0000-0002-4378-8841)
- Yun Gao
Institutions
- Shanghai University (CN)
- York University (CA)
Publication Details
- Journal
- Pacific Journal of Mathematics
- Published
- 2025-04-08
- DOI
- https://doi.org/10.2140/pjm.2025.335.119
- Citations
- 1
- Primary Topic
- Advanced Topics in Algebra
- Type
- article
- Field-Weighted Citation Impact
- 5.38
Funders
- National Natural Science Foundation of China
- Natural Sciences and Engineering Research Council of Canada