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SUMMARY:Robert Yuncken (Université de Lorraine\, France)
DTSTART:20231120T150000Z
DTEND:20231120T160000Z
DTSTAMP:20260422T175455Z
UID:QGS/105
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QGS/105/">Cr
 ystallizing compact semisimple Lie groups</a>\nby Robert Yuncken (Universi
 té de Lorraine\, France) as part of Quantum Groups Seminar [QGS]\n\n\nAbs
 tract\nThe theory of crystal bases is a means of simplifying the represent
 ation theory of semisimple Lie algebras by passing through quantum groups.
   Varying the parameter q of the quantized enveloping algebras\, we pass f
 rom the classical theory at ​$q=1$ through the Drinfeld-Jimbo algebras a
 t $q\\in]0\,1[$ to the crystal limit at $q = 0$. At this point\, the main 
 features of the representation theory crystallize into purely combinatoria
 l data described by crystal graphs.  In this talk\, we will describe what 
 happens to the C*-algebra of functions on a compact semisimple Lie group u
 nder the crystallization process\, yielding higher-rank graph algebras. Th
 is is joint work with Marco Matassa.\n
LOCATION:https://researchseminars.org/talk/QGS/105/
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