Advances in Mathematical Physics
Volume 2011 (2011), Article ID 870613, 9 pages
http://dx.doi.org/10.1155/2011/870613
Research Article

The Central Extension Defining the Super Matrix Generalization of 𝑊 1 + ∞

Carina Boyallian and Jose I. Liberati

Famaf-CIEM, Universidad Nacional de Córdoba, Ciudad Universitaria, 5000 Cordoba, Argentina

Received 13 June 2011; Accepted 1 August 2011

Academic Editor: Andrei D. Mironov

Copyright © 2011 Carina Boyallian and Jose I. Liberati. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We prove that the Lie superalgebra of regular differential operators on the superspace ℂ 𝑀 | 𝑁 [ 𝑡 , 𝑡 − 1 ] has an essentially unique non-trivial central extension.