XXXIX Workshop on Geometric Methods in Physics 28.06-4.07.2020
IX School on Geometry and Physics 22-26.06.2020

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:
University
of Bialystok
University of Bialystok






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