A class of Schrödinger–Virasoro type Lie conformal algebras-Reference-Cited by-同舟云学术

A class of Schrödinger–Virasoro type Lie conformal algebras

Published:2015-07 Issue:08 Volume:26 Page:1550058
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Wang Wei¹²,Xu Ying³,Xia Chunguang⁴

Affiliation:

1. School of Mathematics and Computer Science, Ningxia University, Yinchuan 750021, P. R. China

2. Department of Mathematics, Tongji University, Shanghai 200092, P. R. China

3. Department of Mathematics, Hefei University of Technology, Hefei 230009, P. R. China

4. Department of Mathematics, China University of Mining and Technology, Xuzhou 221116, P. R. China

Abstract

In this paper, a class of Lie conformal algebras associated to a Schrödinger–Virasoro type Lie algebra is constructed, which is nonsimple and can be regarded as an extension of the Virasoro conformal algebra. Then conformal derivations, second cohomology group with trivial coefficients and conformal modules of rank 1 of this Lie conformal algebra are investigated.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X15500585

Reference23 articles.

1. Cohomology of Conformal Algebras

2. Infinite conformal symmetry in two-dimensional quantum field theory

3. On torsion-free abelian groups and Lie algebras

4. Monstrous moonshine and monstrous Lie superalgebras

5. Conformal modules

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Non-weight modules over a Schrödinger-Virasoro type algebra;Linear and Multilinear Algebra;2023-02-08

2. Schrödinger-Virasoro Lie conformal algebras;Communications in Algebra;2022-08-27

3. Extensions of finite irreducible modules of Lie conformal algebras W(a,b) and some Schrödinger-Virasoro type Lie conformal algebras;Communications in Algebra;2020-06-09

4. Finite irreducible modules of Lie conformal algebras (a,b) and some Schrödinger–Virasoro type Lie conformal algebras;International Journal of Mathematics;2019-06

5. On Schrödinger-Virasoro type Lie conformal algebras;Communications in Algebra;2016-10-07