- journal article metadata
European Mathematical Society Publishing House
2018-03-26 23:30:00
Journal of Noncommutative Geometry
J. Noncommut. Geom.
JNCG
1661-6952
1661-6960
Global analysis, analysis on manifolds
General
10.4171/JNCG
http://www.ems-ph.org/doi/10.4171/JNCG
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
12
2018
1
Wreath products of finite groups by quantum groups
Amaury
Freslon
Université Paris-Sud, Orsay, France
Adam
Skalski
Polish Academy of Sciences, Warsaw, Poland
Quantum groups, wreath product, representation theory
We introduce a notion of partition wreath product of a finite group by a partition quantum group, a construction motivated on the one hand by classical wreath products and on the other hand by the free wreath product of J. Bichon.We identify the resulting quantum group in several cases, establish some of its properties and show that when the finite group in question is abelian, the partition wreath product is itself a partition quantum group. This allows us to compute its representation theory, using earlier results of the first named author.
Group theory and generalizations
Combinatorics
29
68
10.4171/JNCG/270
http://www.ems-ph.org/doi/10.4171/JNCG/270
3
23
2018