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}
}
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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.
