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