Structure of the extended Schrodinger-Virasoro Lie algebra
Rings and Algebras
2008-01-15 v1 General Mathematics
Abstract
In this paper, we study the derivations, the central extensions and the automorphism group of the extended Schrodinger-Virasoro Lie algebra, introduced by J. Unterberger in the context of two-dimensional conformal field theory and statistical physics. Moreover, we show that the extended Schrodinger-Virasoro Lie algebra is an infinite-dimensional complete Lie algebra and the universal central extension of the extended Schrodinger-Virasoro Lie algebra in the category of Leibniz algebras is the same as that in the category of Lie algebras.
Keywords
Cite
@article{arxiv.0801.2058,
title = {Structure of the extended Schrodinger-Virasoro Lie algebra},
author = {Shoulan Gao and Cuipo Jiang and Yufeng Pei},
journal= {arXiv preprint arXiv:0801.2058},
year = {2008}
}
Comments
24 pages, to appear in Algrbra Colloquium