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Results tagged with quantum-groups
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user 146495
Questions about algebraic structures known as quantum groups, and their categories of representations. Quasitriangular Hopf algebras and their Drinfel'd twists, triangular Hopf algebras, $C^\star$ quantum groups, h-adic quantum groups, various semisimplified categories at roots of unity which are called "quantum groups", bicrossproduct quantum groups, and quantum groups coming from braided tensor categories.
3
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2
answers
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Does unitarity and modularity constrain fusion multiplicities to be 0,1?
If I have a braided tensor category that's unitary and modular, then how does the unitarity and modularity constrain the fusion multiplicities?
I know that if $a,b,c \in ob({C})$ satisfy the fusion ru …
- 569
5
votes
1
answer
192
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In the rep theory of Quantum Double, why does the fusion of 2 "pure fluxes" yield a "pure ch...
Physicist here, so my notation may be different from standard math notation.
For the quantum double $D(G)$ of a group $G$, we may write representations of $D(G)$ in the following way: Consider a conju …
- 569