Homotopy G-algebra structure on the cochain complex of hom-type algebras

Authors

Apurba Das, Indian Statistical Institute, Kolkata

Article Type

Research Article

Publication Title

Comptes Rendus Mathematique

Abstract

A hom-associative algebra is an algebra whose associativity is twisted by an algebra homomorphism. We show that the Hochschild type cochain complex of a hom-associative algebra carries a homotopy G-algebra structure. As a consequence, we get a Gerstenhaber algebra structure on the cohomology of a hom-associative algebra. We also find similar results for hom-dialgebras.

First Page

1090

Last Page

1099

DOI

10.1016/j.crma.2018.11.001

Publication Date

11-1-2018

Comments

All Open Access, Bronze, Green

Recommended Citation

Das, Apurba, "Homotopy G-algebra structure on the cochain complex of hom-type algebras" (2018). Journal Articles. 1166.
https://digitalcommons.isical.ac.in/journal-articles/1166