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arXiv · 2506.16866

Representation theory of the reflection equation algebra III: Classification of irreducible representations

Stephen T. Moore
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Abstract

We continue our study of Hilbert space representations of the Reflection Equation Algebra, again focusing on the algebra constructed from the $R$-matrix associated to the $q$-deformation of $GL(N,\mathbb{C})$ for $0<q<1$. We develop a form of highest weight theory and use it to classify the irreducible bounded $*$-representations of the reflection equation algebra.

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Stephen T. Moore. 2025-06-20. Representation theory of the reflection equation algebra III: Classification of irreducible representations. https://arxiv.org/abs/2506.16866

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