Yangian of the periplectic Lie superalgebra

Maxim Nazarov (University of York)

Tuesday 19th May 16:00-17:00
Maths 311B

Abstract

Yangians are deformations of the enveloping algebras of Lie algebras of polynomial functions of one variable with values in any finite-dimensional simple Lie algebra. They were defined about 40 ago
by Drinfeld, who generalised examples that emerged in Quantum Physics about 5 years before. Since then, Yangians have been extensively studied by mathematicians and physicists. They also found remarkable applications in Lie Theory and Quantum Field Theory.

Yangians can be defined for all classical Lie superalgebras as well. The theory of these Yangians began unfolding only in the last years. The aim of this talk is to present recent results on the Yangian corresponding to the periplectic Lie superalgebra. The latter is a superanalogue of both the orthogonal and the symplectic Lie algebra at the same time.

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