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Award ID contains: 1664359

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  1. ; ; ; (, Communications in Mathematical Physics)
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  2. ; ; (, Pacific Journal of Mathematics)
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  3. ; ; (, Communications in Algebra)
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  4. ; ; ; (, Advances in Mathematics)
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  5. ; ; ; ; (, Communications in Mathematical Physics)
    null (Ed.)
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  6. ; ; ; (, Journal of Algebra and Its Applications)
    null (Ed.)
    We develop categorical and number-theoretical tools for the classification of super-modular categories. We apply these tools to obtain a partial classification of super-modular categories of rank [Formula: see text]. In particular we find three distinct families of prime categories in rank [Formula: see text] in contrast to the lower rank cases for which there is only one such family. 
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  7. (, Journal of Lie Theory)
    Accepted Manuscript Full Text Available
  8. ; ; (, Tohoku Mathematical Journal)
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  9. ; ; ; ; ; ; ; (, Journal of Knot Theory and Its Ramifications)
    A braided fusion category is said to have Property F if the associated braid group representations factor through a finite group. We verify integral metaplectic modular categories have property F by showing these categories are group-theoretical. For the special case of integral categories [Formula: see text] with the fusion rules of [Formula: see text] we determine the finite group [Formula: see text] for which [Formula: see text] is braided equivalent to [Formula: see text]. In addition, we determine the associated classical link invariant, an evaluation of the 2-variable Kauffman polynomial at a point. 
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  10. ; ; ; (, Transformation Groups)
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