Leibniz Central Extension on the Twisted Schr\"{o}dinger-Virasoro Algebra
Junbo Li, Linsheng Zhu
TL;DR
This paper computes the Leibniz 2-cocycles of the twisted Schrödinger-Virasoro algebra, revealing its second Leibniz cohomology group, which advances understanding of its algebraic structure.
Contribution
It provides a complete classification of Leibniz 2-cocycles for the twisted Schrödinger-Virasoro algebra, a novel result in the study of its cohomology.
Findings
Determined all Leibniz 2-cocycles of the algebra.
Established the structure of the second Leibniz cohomology group.
Enhanced understanding of the algebra's cohomological properties.
Abstract
In this paper we present all the Leibniz 2-cocycles of the twisted Schr\"{o}dinger-Virasoro algebra, which determine its second Leibniz cohomology group.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Advanced Topics in Algebra · Quantum Mechanics and Applications