1. Dialgebra cohomology as a G-algebra.
- Author
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Anita Majumdar and Goutam Mukherjee
- Subjects
- *
HOMOLOGY theory , *ASSOCIATIVE algebras , *COCHAIN complexes , *ALGEBRAIC topology , *HOMOTOPY theory - 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 $CY^*(D,D)$. [ABSTRACT FROM AUTHOR]
- Published
- 2004
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