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SUMMARY:Mickelsson algebras and irreducible representations of Yangians - 
 Khoroshkin\, S (ITEP\, Moscow)
DTSTART:20090325T100000Z
DTEND:20090325T110000Z
UID:TALK17533@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Yangians and their twisted analogues first appeared as basic e
 xamples of deformations of affine Lie algebras\, and found numerous applic
 ations in Quantum Integrable Systems. Classification of the irreducible fi
 nite-dimensional representations of Yangians has been known for a long tim
 e\, but explicit realizations of irreducibles were not known except in spe
 cial cases. In this talk\, we present such a realization. It has basic fea
 tures of representation theory of reductive groups and uses the theory of 
 Mickelsson algebras as an important technical tool. This a joint work with
  M.Nazarov.
LOCATION:Seminar Room 1\, Newton Institute
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