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Mickelsson algebras and irreducible representations of Yangians

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Algebraic Lie Theory

Yangians and their twisted analogues first appeared as basic examples of deformations of affine Lie algebras, and found numerous applications in Quantum Integrable Systems. Classification of the irreducible finite-dimensional representations of Yangians has been known for a long time, but explicit realizations of irreducibles were not known except in special cases. In this talk, we present such a realization. It has basic features 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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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