alexa Models solvable by Bethe Ansatz 1
ISSN: 1736-4337

Journal of Generalized Lie Theory and Applications
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Research Article

Models solvable by Bethe Ansatz 1

Petr P. KULISH*

St. Petersburg Department of Steklov Mathematical Institute, Fontanka 27, 191023 St. Petersburg, Russia

*Corresponding Author:
Petr P. KULISH
St. Petersburg Department of Steklov Mathematical Institute, Fontanka 27
191023 St. Petersburg, Russia
E-mail: [email protected]

Received date: December 20, 2007; Revised date: March 10, 2008

 
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Abstract

Diagonalization of integrable spin chain Hamiltonians by the quantum inverse scattering method gives rise to the connection with representation theory of different (quantum) algebras. Extending the Schur-Weyl duality between sl2 and the symmetric group SN from the case of the isotropic spin 1/2 chain (XXX-model) to a general spin chains related to the Temperley-Lieb algebra TLN(q) one finds a new quantum algebra Uq(n) with the representation ring equivalent to the sl2 one.

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