The derivations, central extensions and automorphism group of the Lie algebra $W$

Abstract

In this paper, we study the derivations, central extensions and the automorphisms of the infinite-dimensional Lie algebra W which appeared in [8] and Dong-Zhang's recent work [22] on the classification of some simple vertex operator algebras.

arXiv comment10 pages

References in corpus (6)

• Quasifinite highest weight modules over the Lie algebra of differential operators on the circle
• The Poincare algebra in the context of ageing systems: Lie structure, representations, Appell systems and coherent states
• A Cohomological Characterization of Leibniz Central Extensions of Lie Algebras
• Ageing, dynamical scaling and its extensions in many-particle systems without detailed balance
• W-algebra W(2,2) and the vertex operator algebra L(1/2,0)\otimes L(1/2,0)
• The generalized Heisenberg-Virasoro algebra

Cited by in corpus (7)

• Whittaker Modules For The W-algebra W(2,2)
• Galilean conformal algebras in two spatial dimension
• Deformation of Asymptotic Symmetry Algebras and Their Physical Realizations
• q-Deformation of W(2,2) Lie algebra associated with quantum groups
• Derivations and automorphism groups of the original deformative Schrödinger-Virasoro algebras
• Quantum group structure of the q-deformed $W$ algebra $\WW_q$
• Whittaker Modules for Graded Lie Algebras