## The deformation complex for differential graded Hopf algebras (1996)

Venue: | J. Pure Appl. Algebra |

Citations: | 7 - 4 self |

### BibTeX

@ARTICLE{Umble96thedeformation,

author = {Ronald N. Umble},

title = {The deformation complex for differential graded Hopf algebras},

journal = {J. Pure Appl. Algebra},

year = {1996}

}

### OpenURL

### Abstract

Abstract. Let H be a differential graded Hopf algebra over a field k. This paper gives an explicit construction of a triple cochain complex that defines the Hochschild-Cartier cohomology of H. A certain truncation of this complex is the appropriate setting for deforming H as an H(q)-structure. The direct limit of all such truncations is the appropriate setting for deforming H as a strongly homotopy associative structure. Sign complications are systematically controlled. The connection between rational perturbation theory and the deformation theory of certain free commutative differential graded algebras is clarified. 1.