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supergroupoid
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(Definition)
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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, $$\gamma \circ \gamma = Id \circ Id \mathcal{G}.$$
- 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 $\gamma$ .
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"supergroupoid" is owned by bci1.
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Cross-references: groupoid
There are 3 references to this entry.
This is version 9 of supergroupoid, born on 2008-09-28, modified 2009-04-05.
Object id is 11103, canonical name is Supergroupoid2.
Accessed 638 times total.
Classification:
| AMS MSC: | 18B40 (Category theory; homological algebra :: Special categories :: Groupoids, semigroupoids, semigroups, groups ) | | | 20L05 (Group theory and generalizations :: Groupoids ) | | | 22A22 (Topological groups, Lie groups :: Topological and differentiable algebraic systems :: Topological groupoids ) | | | 58H05 (Global analysis, analysis on manifolds :: Pseudogroups, differentiable groupoids and general structures on manifolds :: Pseudogroups and differentiable groupoids) | | | 18-00 (Category theory; homological algebra :: General reference works ) |
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Pending Errata and Addenda
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