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math.QA2024
Representation theory of the Reflection Equation Algebra II: Theory of shapes
Kenny De Commer, Stephen T. Moore
We continue our study of the representations of the Reflection Equation Algebra (=REA) on Hilbert spaces, focusing again on the REA constructed from the -matrix associated to th…
math.RT2024
Representation theory of the reflection equation algebra I: A quantization of Sylvester's law of inertia
Kenny De Commer, Stephen T. Moore
We prove a version of Sylvester's law of inertia for the Reflection Equation Algebra (=REA). We will only be concerned with the REA constructed from the -matrix associated to th…