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CATEGORIES:Junior Algebra and Number Theory seminar
SUMMARY:Quantum symmetric algebras - Alex Shannon\, Univer
 sity of Cambridge
DTSTART;TZID=Europe/London:20121109T140000
DTEND;TZID=Europe/London:20121109T150000
UID:TALK41185AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/41185
DESCRIPTION:Given a representation V of a Lie algebra\, the sy
 mmetric algebra S(V) is also a representation in a
  natural way. If one deforms the universal envelop
 ing algebra of the Lie algebra as a Hopf algebra t
 o obtain the corresponding quantum group\, S(V) de
 forms to a representation of the quantum group\, b
 ut in general this deformation fails to be a defor
 mation of algebras. One can\, however\, emulate th
 e construction of the symmetric algebra for repres
 entations of the quantum group\, and this turns ou
 t to be a deformation of a subalgebra of S(V). The
  question we address in this talk is: how much sma
 ller is this than S(V)?
LOCATION:MR4
CONTACT:Joanna Fawcett
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