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Quantum $G_{2}$ categories have property (T)

Corey Jones

Department of Mathematics, Vanderbilt University, Nashville, USA

E-mail Address: corey.m.jones@vanderbilt.edu

https://doi.org/10.1142/S0129167X16500154Cited by:4 (Source: Crossref)

Abstract

We show that the rigid $C^{*}$ -tensor categories of finite-dimensional type 1 unitary representations of the quantum groups $U_{q} (𝔤_{2})$ corresponding to the exceptional Lie group $G_{2}$ for positive $q \neq 1$ have property (T).

Keywords:

AMSC: 18D10, 47A67

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