Jie Lin

collaborators

3 papers

math.RA2026

Transposed Î´-Poisson (super)algebra Structures on the Virasoro-like algebra and its Kantor Lie-double

Jie Lin, Chengyu Liu, Jingjing Jiang

We undertake a study of transposed Î´-Poisson (super)algebra structures on the Virasoro-like algebra and its Kantor Lie-double -- the latter being constructed via Kantor's procedur…

math.RA2025

Transposed Poisson structures on the $q$ -analog Virasoro-like algebras and $q$ -Quantum Torus Lie algebras

Jie Lin, Chengyu Liu, Jingjing Jiang

We investigate the transposed Poisson structures on both the $q$ -analog Virasoro-like algebra and $q$ -quantum torus Lie algebra considering the cases where $q$ is generic and where…

math.RA2025

Transposed Poisson Structures on Two Nambu 3-Lie Algebras

Jingjing Jiang, Chunyi Li, Jie Lin

We describe the $\frac{1}{3}$ -derivations and transposed Poisson structures of the Nambu 3-Lie algebras $A_{I ¨} ^{I^} ´$ and $A_{f, k}$ . Specifically, we first present that $A_{I ¨} ^{I^} ´$ is…

Transposed Î´-Poisson (super)algebra Structures on the Virasoro-like algebra and its Kantor Lie-double

Transposed Poisson structures on the q-analog Virasoro-like algebras and q-Quantum Torus Lie algebras

Transposed Poisson Structures on Two Nambu 3-Lie Algebras

Transposed Poisson structures on the $q$ -analog Virasoro-like algebras and $q$ -Quantum Torus Lie algebras