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Lie Group Quantum Mathematics Seminar

Braided rigidity for path algebras (joint work with Hans Wenzl)

Lilit Martirosyan, University of North Carolina, Wilmington

Location:  Zoom
Date & time: Friday, 05 February 2021 at 12:00PM - 1:00PM

Abstract Path algebras are a convenient way of describing decompositions of tensor powers of an object in a tensor category. If the category is braided, one obtains representations of the braid groups Bn for all n in N. We say that such representations are rigid if they are determined by the path algebra and the representations of B2. We show that besides the known classical cases also the braid representations for the path algebra for the 7-dimensional representation of G2 satisfies the rigidity condition, provided B3 generates End(V^{?3}). We obtain a complete classification of ribbon tensor categories with the fusion rules of g(G2) if this condition is satisfied.

Meeting ID: 939 2146 5287
Passcode: 196884, the dimension of the weight 2 homogeneous subspace of the moonshine module
Most of the zoom talks will be recorded and will be placed in the YouTube channel Rutgers Lie Groups Quantum Math Seminar

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