Structure of the extended Schrodinger-Virasoro Lie algebra

Details Structure of the extended Schrodinger-Virasoro Lie algebra Structure of the extended Schrodinger-Virasoro Lie algebra

2008-01-14

arxiv.org/abs/0801.2058v1

Mathematics

Rings and Algebras

24 pages, to appear in Algrbra Colloquium

Scientific paper

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.

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