Transposed Poisson Structures on Schrödinger Algebra in (n+1)-Dimensional Space-Time

Algebra Colloquium 2026

View at publisher
Authors: Yang Yang, Xiaomin Tang, Abror Kh. Khudoyberdiyev
DOI: 10.1142/s1005386726000131
Cited by: 0

Abstract

This paper investigates the transposed Poisson structures on the Schrödinger algebra [Formula: see text] associated with [Formula: see text]-dimensional space-time of the Schrödinger Lie group. We prove that for [Formula: see text], the algebra [Formula: see text] admits no nontrivial [Formula: see text]-derivations and, consequently, no nontrivial transposed Poisson structures. In contrast, for the case [Formula: see text], we explicitly determine all [Formula: see text]-derivations and the corresponding transposed Poisson structures on [Formula: see text]. Additionally, we demonstrate that [Formula: see text] admits a nontrivial Hom-Lie structure.

Fields of Study & Subjects

Advanced Topics in Algebra Homotopy and Cohomology in Algebraic Topology Advanced Differential Geometry Research

Publication details

Journal / source
Algebra Colloquium
Volume
33
Issue
01
Pages
127–140
Publication date
27 February 2026
Language
EN