nLab
sylleptic ∞-group

Contents

Context

Group Theory

(,1)(\infty,1)-Category theory

Contents

Definition

A sylleptic \infty-group is an ∞-group GG equipped with the following equivalent structure

  1. a lift of its A-∞/E1-algebra structure to an E3 algebra structure;

  2. the structure of a braided ∞-group on its delooping BG\mathbf{B}G

  3. the structure of an ∞-group on its double delooping B 2G\mathbf{B}^2 G

  4. a triple delooping B 3G\mathbf{B}^3 G.

Created on November 30, 2012 at 22:16:15. See the history of this page for a list of all contributions to it.