Relations in the Witt Group of Nondegenerate Braided Fusion Categories Arising from the Representation Theory of Quantum Groups at Roots of Unity

For each finite dimensional Lie algebra $\mathfrak{g}$ and positive integer $k$ there exists a modular tensor category $\mathcal{C}(\mathfrak{g},k)$ consisting of highest weight integrable $\hat{\mathfrak{g}}$-modules of level $k$ where $\hat{\mathfrak{g}}$ is the corresponding affine Lie algebra....

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Bibliographic Details
Main Author: Schopieray, Andrew
Other Authors: Ostrik, Victor
Language:en_US
Published: University of Oregon 2017
Subjects:
Online Access:http://hdl.handle.net/1794/22630