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Results tagged with braided-tensor-categories
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user 85967
1
vote
Comodule Morita equivalence for Hopf algebras
There have been some classic papers, on the development of a Morita theory for equivalent Categories of comodules over coalgebras. I believe one of the oldest and most complete works, which develops t …
- 7,746
5
votes
Easy example of a non-symmetric braiding of $\operatorname{Rep}(G)$?
Since you mention classification results for $R$-matrices:
For finite abelian groups, there is a bijection between the set of universal $R$-matrices of the group hopf algebra $\mathbb C[G]$, the set o …
- 7,746
1
vote
About a categorical definition of graded (coloured) algebra
I am not sure whether the following point of view is what you are asking for, in the sense that it is not some further development of your observations, but a seemingly different categorical descripti …
- 7,746
3
votes
Braided Hopf algebras and Quantum Field Theories
I think that -apart from the applications in CFT and TFT already mentioned in previous answers- one of the most fundamental applications of braided Hopf algebras (with both non-trivial and "calculable …
- 7,746
1
vote
Representation theory in braided monoidal categories
I will try to provide an answer for a particular case of your last question: Let us consider (following my comment above) the case of $H=\mathbb{CZ}_2$ i.e. the group hopf algebra equipped with its no …
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2
votes
How well is the classification of low-dimensional semisimple Hopf superalgebras (or braided ...
The OP asks more than one different things: the classification of fin dim, semisimple (or not), braided Hopf algebras is still a wide open area (up to my knowledge of course).
The classification of …
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