An Introduction to Yangian Symmetries
Abstract
Description
We review some aspects of the quantum Yangians as symmetry algebras of two-dimensional quantum field theories. The plan of these notes is the following: 1 - The classical Heisenberg model: Non-Abelian symmetries;
The generators of the symmetries and the semi-classical Yangians;
An alternative presentation of the semi-classical Yangians;
Digression on Poisson-Lie groups. 2 - The quantum Heisenberg chain:
Non-Abelian symmetries and the quantum Yangians;
The transfer matrix and an alternative presentation of the Yangians;
Digression on the double Yangians. Talk given at the "Integrable Quantum Field Theories" conference held at Come, Italy , September 13-19, 1992.
14 pages, SPTh-92-134, (The Tex has been corrected)
14 pages, SPTh-92-134, (The Tex has been corrected)