10 citations · 43 across the 21 of their papers we have counts for
26 papers
Haar measure for totally positive split real semisimple quantum groups of classical type
Kenny De Commer, Geoffrey Janssens, Wannes Malfait
Let be a non-zero real number and put . Let be a semisimple split real Lie group of classical type, with Lie algebra and associated Bor…
Quantum as a locally compact quantum group
K. De Commer, G. Schrader, A. Shapiro +1
We construct the first examples of purely continuous, -deformed Lie type locally compact quantum groups in higher rank. They arise from Drinfeld-Jimbo quantization, at unimodula…
Induction for representations of coideal doubles, with an application to quantum
Kenny De Commer
We investigate the theory of induction in the setting of doubles of coideal -subalgebras of compact quantum group Hopf -algebras. We then exemplify parts of this theory in th…
Quantisation of semisimple real Lie groups
Kenny De Commer
We provide a novel construction of quantized universal enveloping -algebras of real semisimple Lie algebras, based on Letzter's theory of quantum symmetric pairs. We show that t…
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…
Invariant integrals on coideals and their Drinfeld doubles
Kenny De Commer, Joel Right Dzokou Talla
Let be a CQG Hopf -algebra, i.e. a Hopf -algebra with a positive invariant state. Given a unital right coideal -subalgebra of , we provide conditions for the ex…