PlanetPhysics/Supergroupoid

A supergroupoid   $(𝒢, γ)$  is a [[../QuantumOperatorAlgebra5/|groupoid]]  $𝒢$  equipped with

an involutive automorphism $γ : I d 𝒢 \to I d 𝒢$ , that is, $γ \circ γ = I d \circ I d 𝒢 .$

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References

↑ Baez, J. 2006., \htmladdnormallink{Categorified Gelfand-Naimark and Vector Bundles with Connection }{http://golem.ph.utexas.edu/category/2006/10/categorified_gelfandnaimark_th.html} (Preprint)

Remark: A supergroupoid is a particular example of a Failed to parse (syntax error): {\displaystyle "N=1"} supercategory with all invertible morphisms and an involutive automorphism $γ .$

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[JB2k6-1] Baez, J. 2006., \htmladdnormallink{Categorified Gelfand-Naimark and Vector Bundles with Connection }{http://golem.ph.utexas.edu/category/2006/10/categorified_gelfandnaimark_th.html} (Preprint)

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PlanetPhysics/Supergroupoid

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