English

Loop Schr\"odinger-Virasoro Lie conformal algebra

Quantum Algebra 2015-12-23 v1

Abstract

In this paper, we introduce two kinds of Lie conformal algebras associated with the loop Schr\"odinger-Virasoro Lie algebra and the extended loop Schr\"odinger-Virasoro Lie algebra, respectively. The conformal derivations, the second cohomology groups of these two conformal algebras are completely determined. And nontrivial free conformal modules of rank one and Z-graded free intermediate series modules over these two conformal algebras are also classified in the present paper

Keywords

Cite

@article{arxiv.1512.06978,
  title  = {Loop Schr\"odinger-Virasoro Lie conformal algebra},
  author = {Haibo Chen and Jianzhi Han and Yucai Su and Ying Xu},
  journal= {arXiv preprint arXiv:1512.06978},
  year   = {2015}
}

Comments

18 Pages

R2 v1 2026-06-22T12:15:39.607Z