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Advances in Mathematical Physics
Volume 2016, Article ID 9218693, 11 pages
http://dx.doi.org/10.1155/2016/9218693
Research Article

Lie Subalgebras of the Matrix Quantum Pseudodifferential Operators

FaMAF-CIEM, Universidad Nacional de Córdoba, 5000 Córdoba, Argentina

Received 22 March 2016; Accepted 10 July 2016

Academic Editor: Angel Ballesteros

Copyright © 2016 Karina Batistelli and Carina Boyallian. 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 give a complete description of the anti-involutions that preserve the principal gradation of the algebra of matrix quantum pseudodifferential operators and we describe the Lie subalgebras of their minus fixed points.