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SUMMARY:A generalization of the Temperley-Lieb algebra from restricted qua
 ntum sl2 - Stephen Moore (Cardiff University)
DTSTART:20170302T140000Z
DTEND:20170302T150000Z
UID:TALK71260@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:The Temperley-Lieb algebra was introduced in relation to latti
 ce models in statistical mechanics\, before being rediscovered in the stan
 dard invariant of subfactors. Alternatively\, the Temperley-Lieb algebra c
 an be constructed as the centralizer of the quantum group Uq(sl2). Recent 
 work in logarithmic conformal field theory has brought interest to a restr
 icted version of this quantum group. We generalize the Temperley-Lieb cons
 truction to the restricted case\, describing generators and a number of re
 lations\, then describe morphisms between modules\, including a conjecture
  for the formula for projections onto indecomposable modules.<span><br> <b
 r> </span><br><br><br><br>
LOCATION:Seminar Room 2\, Newton Institute
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