In 1985 Zamolodchikov constructed a "nonlinear" extension of the Virasoro algebra known as W_3algebra. This is the one of the first appearance of a rich class of algebraic structures, known as Walgebras, which are intimately related to physical theories with symmetry and revealed many applications in mathematics. In the first part of the talk I will review some facts about the general theory of Walgebras. Then, I will explain how to describe quantum finite and classical affine Walgebras using Lax operators. In the quantum finite case this operator satisfies a generalized Yangian identity, while in the classical affine case it is used to construct integrable hierarchies of Hamiltonian equations in Lax form. This is a joint work with A. De Sole and V.G. Kac.
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Algebraic structures arising from physics
Research Group:
Daniele Valeri
Location:
A005
Schedule:
Thursday, May 3, 2018  11:00
Abstract:
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