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Dialgebra cohomology as a G-algebra
Authors:Anita Majumdar   Goutam Mukherjee
Affiliation:Stat-Math Unit, Indian Statistical Institute, 203, B. T. Road, Kolkata-700108, India ; Stat-Math Unit, Indian Statistical Institute, 203, B. T. Road, Kolkata-700108, India
Abstract:It is well known that the Hochschild cohomology $H^*(A,A)$ of an associative algebra $A$ admits a G-algebra structure. In this paper we show that the dialgebra cohomology $HY^*(D,D)$ of an associative dialgebra $D$ has a similar structure, which is induced from a homotopy G-algebra structure on the dialgebra cochain complex $CY^*(D,D)$.

Keywords:Dialgebra   operad   brace algebra   homotopy G-algebra   G-algebra
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