Orthogonal vs unitary in the case of "easy" quantum groups

Moritz Weber (Saarland University, Germany)

21-Jun-2021, 14:00-15:00 (3 years ago)

Abstract: We consider quantum subgroups of Wang’s free orthogonal quantum group on the one hand and of his free unitary quantum group on the other. In the first case, the generators of the underlying C*-algebras are selfadjoint which is dropped in the latter case. We compare these two cases along the lines of so called "easy" quantum groups and we observe that the step from the orthogonal to the unitary case is huge. This is a survey talk on the landscape of "easy" quantum groups with a particular emphasis on the differences between the orthogonal and the unitary case.

category theoryoperator algebrasquantum algebra

Audience: researchers in the topic


Quantum Groups Seminar [QGS]

Series comments: This seminar aims to bring together experts in the area of quantum groups. The seminar topics will cover the theory of quantum groups and related structures in a large sense: Hopf algebras, operator algebras, q-deformations, higher categories and related branches of noncommutative mathematics.

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Organizers: Rubén Martos, Frank Taipe*, Makoto Yamashita
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