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arXiv · 2606.07136

On a Small Version of the Reflection Equation Algebra

Stephen T. Moore
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Abstract

We give an alternative presentation of the small version of the reflection equation algebra associated to $GL_N$ at both odd and even roots of unity, and use our presentation to classify its irreducible representations. We then describe a family of algebras generalizing the small reflection equation algebra, and consider their application to the study of module categories over $U_q(sl_N)$ fusion categories.

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Stephen T. Moore. 2026-06-05. On a Small Version of the Reflection Equation Algebra. https://arxiv.org/abs/2606.07136

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