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SUMMARY:Quivers with relations for symmetrizable Cartan matrices
DTSTART:20150505T151500
DTEND:20150505T170000
DTSTAMP:20260527T190426Z
UID:6ffc109b17df7042c215756812ca274b61581217ec325a7e343ea2fd
CATEGORIES:Conferences - Seminars
DESCRIPTION:Bernard Leclerc\, Université de Caen\nIn a joint work with C.
  Geiss and J. Schröer\, we have introduced two classes of algebras associ
 ated with pairs (C\,D) consisting of a symmetrizable generalized Cartan ma
 trix C and a symmetrizer D (such that DC is symmetric). These algebras\, d
 efined by quivers with relations\, generalize quiver path algebras and the
 ir preprojective algebras (obtained when C is symmetric and D is the unit 
 matrix). I will explain analogues in this setting of classical theorems of
  Gabriel\, Dlab-Ringel\, Gelfand-Ponomarev\, etc. I will also present a ne
 w realization of the positive part of the enveloping algebra of the symmet
 rizable Kac-Moody algebra defined by C\, as a convolution algebra of const
 ructible functions\, generalizing a theorem of Schofield and Lusztig.
LOCATION:MAA330 http://plan.epfl.ch/?zoom=20&recenter_y=5864131.98476&rece
 nter_x=731135.48838&layerNodes=fonds\,batiments\,labels\,information\,park
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STATUS:CONFIRMED
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