Structure of the extended Schrodinger-Virasoro Lie algebra

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.

24 pages, to appear in Algrbra Colloquium

References in corpus (1)

• A Cohomological Characterization of Leibniz Central Extensions of Lie Algebras

Cited by in corpus (5)

• Automorphisms and Verma modules for Generalized Schrödinger-Virasoro algebras
• Derivations and automorphism groups of the original deformative Schrödinger-Virasoro algebras
• The Schrödinger-Virasoro type Lie bialgebra: a twisted case
• Non-degenerate Symmetric Invariant Bilinear Forms on the Deformative Schrödinger-Virasoro Algebras
• Lie superbialgebra structures on the twisted N=1 Schrödinger-Neveu-Schwarz algebra