4 papers
On a Small Version of the Reflection Equation Algebra
Stephen T. Moore
We give an alternative presentation of the small version of the reflection equation algebra associated to at both odd and even roots of unity, and use our presentation to cl…
Representation theory of the reflection equation algebra III: Classification of irreducible representations
Stephen T. Moore
We continue our study of Hilbert space representations of the Reflection Equation Algebra, again focusing on the algebra constructed from the -matrix associated to the -defor…
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…
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…