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SUMMARY:Quantum symmetric algebras - Alex Shannon\, University of Cambridg
 e
DTSTART:20121109T140000Z
DTEND:20121109T150000Z
UID:TALK41185@talks.cam.ac.uk
CONTACT:Joanna Fawcett
DESCRIPTION:Given a representation V of a Lie algebra\, the symmetric alge
 bra S(V) is also a representation in a natural way. If one deforms the uni
 versal enveloping algebra of the Lie algebra as a Hopf algebra to obtain t
 he corresponding quantum group\, S(V) deforms to a representation of the q
 uantum group\, but in general this deformation fails to be a deformation o
 f algebras. One can\, however\, emulate the construction of the symmetric 
 algebra for representations of the quantum group\, and this turns out to b
 e a deformation of a subalgebra of S(V). The question we address in this t
 alk is: how much smaller is this than S(V)?
LOCATION:MR4
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