Equivariant associative dialgebras and its one-parameter formal deformations

[摘要] Associative dialgebras generalize the notions of associative algebras. In this paper, we define a notion of finite group actions on associative dialgebras and define an equivariant dialgebra cohomology associated with such actions. We introduce a one-parameter formal deformation in the equivariant context and show that the equivariant dialgebra cohomology controls the equivariant one-parameter formal deformation of dialgebra equipped with an action of a finite group. (C) 2019 Elsevier B.V. All rights reserved.

[发布日期] 2019-12-01

[关键词] Associative dialgebras;Group actions;Equivariant cohomology;Formal deformations