Transposed δ-Poisson (super)algebra structures on the Virasoro-like algebra and its Kantor Lie-double
We undertake a study of transposed δ-Poisson (super)algebra structures on the Virasoro-like algebra and its Kantor Lie-double -- the latter being constructed via Kantor's procedure. This work leads to the finding that, whereas non-trivial δ-derivations exist solely at δ=1, non-trivial transposed δ-Poisson (super)algebra structures are entirely absent.
Authors
- Chengyu Liu (ORCID: https://orcid.org/0000-0003-1965-3020)
- Jie Lin
- Jingjing Jiang (ORCID: https://orcid.org/0000-0002-5084-6341)
Institutions
- Civil Aviation University of China (CN)
Publication Details
- Journal
- Communications in Algebra
- Published
- 2026-04-30
- DOI
- https://doi.org/10.1080/00927872.2026.2637000
- Primary Topic
- Homotopy and Cohomology in Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China