Geometric view of semisimple quantum groups representations

Abstract: The representations of the principal series of a semisimple quantum group can be, as in the classical case, constructed as induced representations from the characters of a quantum Borel subgroup. Rieffel's framework for induction can be adapted to quantum groups and allows to give a simple expression for the principal series representations. In particular this leads, as Clare did in the classical case, to gather all these representations into a single Hilbert module built from a certain quantum homogeneous space.

geometric topologynumber theoryoperator algebrasrepresentation theory

Audience: researchers in the topic

( slides | video )

Noncommutative Geometry in NYC

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