From combinatorics to (easy) quantum groups and more (Moritz Weber, University of Saarbrücken)
- https://wis.kuleuven.be/agenda/sem-opalg/ay15-16/sem-02-10
- From combinatorics to (easy) quantum groups and more (Moritz Weber, University of Saarbrücken)
- 2015-10-02T14:00:00+02:00
- 2015-10-02T16:00:00+02:00
Oct 02, 2015 from 02:00 PM to 04:00 PM (Europe/Brussels / UTC200)
B.02.18
by Moritz Weber (University of Saarbrücken)
Room: B.02.18
Abstract: Just like the theory of C*-algebras can be seen as a non-commutative version of topology, compact quantum groups arise as a generalization of compact groups in this framework. Hence, they give rise to a good notion of symmetries in this context. In 1988, Woronowicz proved a Tannaka-Krein result for compact (matrix) quantum groups. We first recall and promote this beautiful theorem and then point out how it opens the door to combinatorial methods in the theory of quantum groups.
We apply this Tannaka-Krein machinery to obtain Banica and Speicher's orthogonal easy quantum groups (their work from 2009), and we extend it to unitary easy quantum groups (joint work in progress with Pierre Tarrago) and other deformations of the "easy" concept (joint work in progress with Guillaume Cébron).