Formal Pseudodifferential Operators in One and Several Variables, Central Extensions, and Integrable Systems

We review some aspects of the theory of Lie algebras of (twisted and untwisted) formal pseudodifferential operators in one and several variables in a general algebraic context. We focus mainly on the construction and classification of nontrivial central extensions. As applications, we construct hier...

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Bibliographic Details
Main Authors: Jarnishs Beltran, Enrique G. Reyes
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2015/210346