Equivariant cohomology and deformation for algebras - an operadic approach

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Let P be an operad with a multiplication, and later with a (higher) derivation. This paper introduces and develops a notion of (partial) group action and corresponding equivariant cohomology and deformation theory on P. It generalizes existing results for equivariant cohomology and deformation for associative algebras, dialgebras, and dendriform algebras, among others. At the end, we discuss compatibilities of group action and some operadic constructions.

Original languageEnglish
Article number105147
JournalJournal of Geometry and Physics
Publication statusPublished - May 2024


  • (partial) group action
  • Equivariant cohomology
  • Equivariant deformation


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