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supergroupoid (Definition)
Definition 0.1   A supergroupoid $(\mathcal{G},\gamma)$ is a groupoid $\mathcal{G}$ equipped with an involutive automorphism $\gamma : Id \mathcal{G} \to Id \mathcal{G}$, that is,

$\displaystyle \gamma \circ \gamma = Id \circ Id \mathcal{G}.$

Bibliography

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

Remark: A supergroupoid is a particular example of a $\lq\lq N=1''$ supercategory with all invertible morphisms and an involutive automorphism $\gamma.$



"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 are 3 references 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 3242 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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