72 citations · 212 across the 16 of their papers we have counts for
6 papers · 1 filter
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…
Partial -algebraic quantum groups and Drinfeld doubles of partial compact quantum groups
Kenny De Commer, Johan Konings
We introduce a notion of partial algebraic quantum group. This is an important special case of a weak multiplier Hopf algebra with integrals, as introduced in the work of Van Daele…
Comparison of quantizations of symmetric spaces: cyclotomic Knizhnik-Zamolodchikov equations and Letzter-Kolb coideals
Kenny De Commer, Sergey Neshveyev, Lars Tuset +1
We establish an equivalence between two approaches to quantization of irreducible symmetric spaces of compact type within the framework of quasi-coactions, one based on the Enrique…
Partial compact quantum groups
Kenny De Commer, Thomas Timmermann
Compact quantum groups of face type, as introduced by Hayashi, form a class of compact quantum groupoids with a classical, finite set of objects. Using the notions of a weak multip…
Quantum flag manifolds as quotients of degenerate quantized universal enveloping algebras
Kenny De Commer, Sergey Neshveyev
Let be a semi-simple Lie algebra with fixed root system, and the quantization of its universal enveloping algebra. Let be a subset…
A study of Galois objects for algebraic quantum groups
K. De Commer
We supplement the study of Galois theory for algebraic quantum groups started in the paper 'Galois Theory for Multiplier Hopf Algebras with Integrals' by A. Van Daele and Y.H. Zhan…