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On equivariant dendriform algebras

Volume 164 / 2021

Apurba Das, Ripan Saha Colloquium Mathematicum 164 (2021), 283-303 MSC: 17A30, 16E40, 55N91. DOI: 10.4064/cm8134-3-2020 Published online: 9 October 2020


Dendriform algebras are certain associative algebras whose product splits into two binary operations and the associativity splits into three new identities. In this paper, we study finite group actions on dendriform algebras. We define equivariant cohomology for dendriform algebras equipped with finite group actions similar to the Bredon cohomology for topological $G$-spaces. We show that equivariant cohomology of such dendriform algebras controls equivariant one-parameter formal deformations.


  • Apurba DasDepartment of Mathematics and Statistics
    Indian Institute of Technology Kanpur
    Kanpur 208016, India
  • Ripan SahaDepartment of Mathematics
    Raiganj University
    Raiganj 733134, West Bengal, India

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