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International conference «Integrable systems and applications» in honour of M. A. Olshanetsky 80-th birthday
December 11, 2018 11:40–12:10, Moscow, Steklov Mathematical Institute, Gubkina 8, Conference hall
 


Generalized Yangians and their Bethe subalgebras

D. Gurevich
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MP4 420.7 Mb

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D. Gurevich
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Abstract: I'll introduce some new quantum algebras which are called Generalized Yangians. Their definition is based on the notion of compatible $R$-matrices. In these algebras quantum analogs of some symmetric polynomials (elementary ones, power sums) are well-defined. These quantum symmetric polynomials generate commutative subalgebras called Bethe. Also, I plan to exhibit some quantum analogs of the classical identities (Cayley-Hamilton, Newton) and discuss a version of the Drinfeld-Sokolov reduction in quantum algebras.

Language: English

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