Classical W-algebras

P. Di Francesco, C. Itzykson, J. B. Zuber

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Pages (from-to)543-567
Number of pages25
JournalCommunications in Mathematical Physics
Issue number3
StatePublished - Oct 1991
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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