English

Extensions of Schr\"odinger-Virasoro conformal modules

Rings and Algebras 2019-07-08 v2

Abstract

In this paper, we study extensions between two finite irreducible conformal modules over the Schr\"odinger-Virasoro conformal algebra and the extended Schr\"odinger-Virasoro conformal algebra. Also, we classify all finite nontrivial irreducible conformal modules over the extended Schr\"odinger-Virasoro conformal algebra. As a byproduct, we obtain a classification of extensions of Heisenberg-Virasoro conformal modules.

Keywords

Cite

@article{arxiv.1809.04796,
  title  = {Extensions of Schr\"odinger-Virasoro conformal modules},
  author = {Lamei Yuan and Kaijing Ling},
  journal= {arXiv preprint arXiv:1809.04796},
  year   = {2019}
}

Comments

Here is a correct proof of Theorem 4.5. arXiv admin note: text overlap with arXiv:1809.04795