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supergroupoid (Definition)

Definition 0.1. A supergroupoid (𝒢,γ) is a groupoid 𝒢 equipped with an involutive automorphism γ : Id𝒢→ Id𝒢, that is,

γ ∘ γ = Id ∘ Id𝒢.

References

[1]   Baez, J. 2006., Categorified Gelfand-Naimark and Vector Bundles with Connection (Preprint)

Remark: A supergroupoid is a particular example of a “N = 1′′ supercategory with all invertible morphisms and an involutive automorphism γ.


"supergroupoid" is owned by bci1.
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See Also: groupoid, superdiagrams as heterofunctors, supercategory

Other names:  supercategory, supergroup
Also defines:  involutive automorphism
Keywords:  supergroupoid, groupoid, supercategory, supergroup

Cross-references: groupoid
There is 1 reference to this object.

This is version 3 of supergroupoid, born on 2009-04-05, modified 2009-04-05.
Object id is 623, canonical name is Supergroupoid.
Accessed 3290 times total.

Classification:
Physics Classification: 00. (GENERAL)
 02. (Mathematical methods in physics)
 03. (Quantum mechanics, field theories, and special relativity )
Pending Errata and Addenda
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