36 citations · 189 across the 17 of their papers we have counts for
17 papers
The dual quantum group for the quantum group analogue of the normalizer of SU(1,1) in SL(2,C)
Wolter Groenevelt, Erik Koelink, Johan Kustermans
The quantum group analogue of the normalizer of SU(1,1) in SL(2,C) is an important and non-trivial example of a non-compact quantum group. The general theory of locally compact qua…
Quantum groups, differential calculi and the eigenvalues of the Laplacian
J. Kustermans, G. J. Murphy, L. Tuset
We study *-differential calculi over compact quantum groups in the sense of S.L. Woronowicz. Our principal results are the construction of a Hodge operator commuting with the Lapla…
Differential Calculi over Quantum Groups and Twisted Cyclic Cocycles
J. Kustermans, G. J. Murphy, L. Tuset
We study some aspects of the theory of non-commutative differential calculi over complex algebras, especially over the Hopf algebras associated to compact quantum groups in the sen…
A locally compact quantum group analogue of the normalizer of SU(1,1) in SL(2,C)
Erik Koelink, Johan Kustermans
S.L. Woronowicz proved in 1991 that quantum SU(1,1) does not exist as a locally compact quantum group. Results by L.I. Korogodsky in 1994 and more recently by Woronowicz gave stron…
Induced corepresentations of locally compact quantum groups
Johan Kustermans
We introduce the construction of induced corepresentations in the setting of locally compact quantum groups and prove that the resulting induced corepresentations are unitary under…
Locally compact quantum groups in the von Neumann algebraic setting
Johan Kustermans, Stefaan Vaes
In this paper we complete in several aspects the picture of locally compact quantum groups. First of all we give a definition of a locally compact quantum group in the von Neumann…