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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Carolina Araujo
A Geometric View on Tsen's Theorem
Thursday, May 24, 2018  14:30

Bartosz Kosma Kwasniewski
Invitation to Hilbert C*modules and CuntzPimsner algebras
Monday, May 28, 2018  14:30

Livia Corsi
Periodic Driving at High Frequencies of an Impurity in the Isotropic XY Chain
Monday, June 4, 2018  14:30
Today's Lectures

Marco Bertola
11:00 to 13:00

Luca Heltai
11:00 to 13:00

Cesare Reina
15:00 to 17:00
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