BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Alfons Van Daele (KU Leuven\, Belgium)
DTSTART:20260413T140000Z
DTEND:20260413T150000Z
DTSTAMP:20260422T182333Z
UID:QGS/139
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QGS/139/">Di
 screte quantum groups</a>\nby Alfons Van Daele (KU Leuven\, Belgium) as pa
 rt of Quantum Groups Seminar [QGS]\n\n\nAbstract\nDiscrete quantum groups 
 were first introduced as the duals of  compact quantum groups in a paper b
 y Podleś and Woronowicz (1990). Later they were studied independently by 
 Effros and Ruan (1994) and myself (1996). All of this was done before the 
 duality of multiplier Hopf algebras with integrals was developed (1998)\, 
 as a special and motivating  case  of the theory of locally compact quantu
 m groups\, developed even later (2000).\n\nUnfortunately\, also in more re
 cent work\, discrete quantum groups have still been treated as duals of co
 mpact quantum groups and not as a concept of its own.\n\nIn this talk I wi
 ll discuss a somewhat updated version of the theory of discrete quantum gr
 oups. Given a discrete quantum group $(A\,\\Delta)$\, I will focus on the 
 properties of $\\Delta(h)$ where $h$ is the cointegral. The element $\\Del
 ta(h)$ is a \\emph{separability idempotent} in the multiplier algebra $M(A
 \\otimes A)$ carrying all the essential  information about the discrete qu
 antum group. \n\nI plan to use the discrete quantum group that arises from
  the Jimbo deformation of the enveloping algebra of the Lie algebra of $SU
 (2)$ to illustrate some of the notions and properties of general discrete 
 quantum groups.\n
LOCATION:https://researchseminars.org/talk/QGS/139/
END:VEVENT
END:VCALENDAR