Cohomology and deformation theory for operad with higher derivation

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The purpose of this paper is to give a cohomology theory for any operad equipped with a (higher) derivation. Our construction is based on an operadic level correspondence between higher derivations and sequences of derivations and the legitimacy of this indirect approach is justified by an illustration of how the formal deformation is controlled by the cohomology. The results are generalized to the bihom-context at the end of the paper.

Original languageEnglish
Article number107440
JournalJournal of Pure and Applied Algebra
Issue number12
Publication statusPublished - Dec 2023


  • (higher) derivation
  • Cohomology
  • Deformation
  • Hom-structures


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