Second cohomology groups and left-symmetric algebraic structures of the generalized loop Heisenberg-Virasoro algebra
Rings and Algebras
2025-11-17 v1
Abstract
This is the second paper in our series of papers dedicated to the study of the generalized loop Heisenberg-Virasoro algebra. The first paper is dedicated to the study of maps on the generalized loop Heisenberg-Virasoro algebra, including derivations, -local derivations, biderivations the automorphism groups. The present paper is dedicated to the study of the second cohomology groups and left-symmetric algebraic structures on the generalized loop Heisenberg-Virasoro algebra. We describe the second cohomology group and left-symmetric algebra structures on the generalized loop Heisenberg-Virasoro algebra by use of the Witt algebras being Lie subalgebra of the generalized loop Heisenberg-Virasoro algebra up to isomorphism.
Keywords
Cite
@article{arxiv.2511.10970,
title = {Second cohomology groups and left-symmetric algebraic structures of the generalized loop Heisenberg-Virasoro algebra},
author = {Qingyan Ren and Liming Tang},
journal= {arXiv preprint arXiv:2511.10970},
year = {2025}
}