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- W1582202287 abstract "A crossed module is (A,H,d,la) where d:Ato H is a homomorphism of groups and H acts on A, with conditions leading to a groupoid Alcross H{toatop to}H as an example of a strict 2-group. We give the corresponding notion of a quantum 2-group where we replace the above by Hopf algebras and introduce a new version of quantum groupoid. The work also suggests a natural notion of braided crossed module where A a braided-Hopf algebra in the braided category Z({}_HCM) of crossed H-modules, although without the full groupoid picture in this more general case." @default.
- W1582202287 created "2016-06-24" @default.
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- W1582202287 date "2012-08-30" @default.
- W1582202287 modified "2023-09-27" @default.
- W1582202287 title "Strict quantum 2-groups" @default.
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