Affiliation:
1. Department of Mathematics, Tongji University, Shanghai 200092, P. R. China
2. Department of Mathematics, Hefei University of Technology, Hefei 230009, Anhui, P. R. China
Abstract
In this paper, we introduce two kinds of Lie conformal algebras, associated with the loop Schrödinger–Virasoro Lie algebra and the extended loop Schrödinger–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 [Formula: see text]-graded free intermediate series modules over these two conformal algebras are also classified in the present paper.
Funder
National Natural Science Foundation of China
National Natrual Science Foundation of China
Innovation Program of Shanghai Municipal Education Commission
Program for Young Excellent Talents in Tongji University
the Fundamental Research Funds for the Central Universities of China
Publisher
World Scientific Pub Co Pte Lt
Cited by
7 articles.
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