nLab
sylleptic ∞-group
Contents
Context
Group Theory
group theory
Classical groups
Finite groups
Group schemes
Topological groups
Lie groups
Super-Lie groups
Higher groups
Cohomology and Extensions
-Category theory
(∞,1)-category theory
Background
Basic concepts
Universal constructions
Local presentation
Theorems
Models
Contents
Definition
A sylleptic -group is an ∞-group equipped with the following equivalent structure
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a lift of its A-∞/E1-algebra structure to an E3 algebra structure;
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the structure of a braided ∞-group on its delooping
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the structure of an ∞-group on its double delooping
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a triple delooping .
Last revised on August 3, 2020 at 07:28:57.
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