We reconsider the relation between classical W-algebras and deformations of differential operators, emphasizing the consistency with diffeomorphisms. Generators of the W-algebra that are k-differentials are constructed by a systematic procedure. The method extends, following Drinfeld and Sokolov, to W-algebras based on arbitrary simple Lie algebras.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics