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Results tagged with ct.category-theory
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user 146495
Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
3
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0
answers
139
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Understanding fusion categories from the perspective of anyons?
ncatlab defines a fusion category as "A fusion category is a rigid semisimple linear (Vect-enriched) monoidal category (“tensor category”), with only finitely many isomorphism classes of simple object …
- 569
3
votes
2
answers
108
views
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
4
votes
0
answers
161
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Drinfeld center of a tensor category
Firstly, apologies for the imprecise language, I'm a physicist trying to understand anyonic excitations from the lens of category theory.
If I have a category (say $\operatorname{Rep}(\mathbb{Z}_2)$) …
- 569