2-local derivations on the twisted Heisenberg-Virasoro algebra
Yufang Zhao, Yongsheng Cheng
TL;DR
This paper proves that all 2-local derivations on the twisted Heisenberg-Virasoro algebra are actual derivations, enhancing understanding of the algebra's local structural properties.
Contribution
It establishes that every 2-local derivation on the twisted Heisenberg-Virasoro algebra is a derivation, a novel result in the study of this algebra.
Findings
All 2-local derivations are derivations on the algebra.
Clarifies the structure of local derivations in the algebra.
Contributes to the theory of derivations in Lie algebras.
Abstract
2-local derivation is a generalized derivation for a Lie algebra, which plays an important role to the study of local properties of the structure of the Lie algebra. In this paper, we prove that every 2-local derivation on the twisted Heisenberg-Virasoro algebra is a derivation.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Sphingolipid Metabolism and Signaling