XXXIX Workshop on Geometric Methods in Physics 27.06-3.07.2021
IX School on Geometry and Physics 21-25.06.2021

Kenny De Commer

Quantized twisted adjoint orbits and quantum symmetric spaces

One can construct a symmetric space of compact type as a twisted adjoint orbit of a compact Lie group on its complexification. We show how this realisation exists also on the level of the associated quantum groups, with the quantum symmetric spaces determined by Letzter coideals. Implementing the correspondence on the C*-level leads to some interesting spectrality phenomena. This talk is partly based on joint work with M. Matassa.

Event sponsored by:
of Bialystok
University of Bialystok

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