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arXiv · 2007.05622

The Grothendieck Ring of a Family of Spherical Categories

Zhengwei Liu·Christopher Ryba
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Abstract

The first author constructed a $q$-parameterized spherical category $\sC$ over $\mathbb{C}(q)$ in [Liu15], whose simple objects are labelled by all Young diagrams. In this paper, we compute closed-form expressions for the fusion rule of $\sC$, using Littlewood-Richardson coefficients, as well as the characters (including a generating function), using symmetric functions with infinite variables.

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Zhengwei Liu, Christopher Ryba. 2020-07-10. The Grothendieck Ring of a Family of Spherical Categories. https://arxiv.org/abs/2007.05622

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