Relations in the homotopy of simplicial abelian Hopf algebras

Authors

James M. Turner, Calvin University

Document Type

Article

Publication Title

Journal of Pure and Applied Algebra

Abstract

In this paper, we analyze the structure possessed by the homotopy groups of a simplicial abelian Hopf algebra over the field F2. Specifically, we review the higher-order structure that the homotopy groups of a simplicial commutative algebra and simplicial cocommutative coalgebra possess. We then demonstrate how these structures interact under the added conditions present in a Hopf algebra.

First Page

163

Last Page

206

DOI

10.1016/S0022-4049(98)00090-5

Publication Date

1-15-1999

Recommended Citation

Turner, James M., "Relations in the homotopy of simplicial abelian Hopf algebras" (1999). University Faculty Publications and Creative Works. 544.
https://digitalcommons.calvin.edu/calvin_facultypubs/544