On the Degenerate Multiplicity of the sl_2 Loop Algebra for the 6V Transfer Matrix at Roots of Unity

On the Degenerate Multiplicity of the sl_2 Loop Algebra for the 6V Transfer Matrix at Roots of Unity

We review the main result of cond-mat/0503564. The Hamiltonian of the XXZ spin chain and the transfer matrix of the six-vertex model has the $sl_2$ loop algebra symmetry if the $q$ parameter is given by a root of unity, $q_0^{2N}=1$, for an integer $N$. We discuss the dimensions of the degenerate ei...

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Bibliographic Details
Main Author: Tetsuo Deguchi
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2006-02-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
loop algebra
the six-vertex model
roots of unity representations of quantum groups
Drinfeld polynomial
Online Access:http://www.emis.de/journals/SIGMA/2006/Paper021/

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