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Search options not deleted user 13767
6 votes
2 answers
280 views

When are the braid relations in a quasitriangular Hopf algebra equivalent?

Quasitriangular Hopf algebras have to satisfy, amongst other conditions, the following equations: $$(\Delta \otimes \mathrm{id}) (R) = R_{13} R_{23}$$ $$(\mathrm{id} \otimes \Delta) (R) = R_{13} R_{12 …
Manuel Bärenz's user avatar
10 votes
0 answers
285 views

What's the relation between half-twists, star structures and bar involutions on Hopf algebras?

A star structure on a Hopf algebra is an antilinear antiautomorphism squaring to 1 and satisfying some further axioms. A Hopf algebra with a star structure is then a star algebra and a Hopf algebra in …
Manuel Bärenz's user avatar
4 votes
3 answers
956 views

When does a monoidal functor between ribbon categories preserve cups and caps, but not neces...

Imagine a monoidal functor between ribbon categories (i.e. monoidal, with a braiding, a twist and compatible left and right duals). An important example would be the restriction functor from the repre …
Manuel Bärenz's user avatar