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SUMMARY:Uwe Franz (Université de Franche-Comté\, France)
DTSTART:20240122T150000Z
DTEND:20240122T160000Z
DTSTAMP:20260422T181248Z
UID:QGS/107
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QGS/107/">Ga
 ussian Parts of Compact Quantum Groups</a>\nby Uwe Franz (Université de F
 ranche-Comté\, France) as part of Quantum Groups Seminar [QGS]\n\n\nAbstr
 act\nWe introduce the Gaussian part of a compact quantum group G\, namely 
 the largest quantum subgroup of G supporting all the Gaussian functionals 
 of G. We prove that the Gaussian part is always contained in the Kac part\
 , and characterise Gaussian parts of classical compact groups\, duals of c
 lassical discrete groups and q-deformations of compact Lie groups. The not
 ion turns out to be related to a new concept of "strong connectedness" and
  we exhibit several examples of both strongly connected and totally strong
 ly disconnected compact quantum groups. Joint work with Amaury Freslon and
  Adam Skalski.\n
LOCATION:https://researchseminars.org/talk/QGS/107/
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