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# Non-Abelian symmetries of the half-infinite XXZ spin chain

Abstract : The non-Abelian symmetries of the half-infinite XXZ spin chain for all possible types of integrable boundary conditions are classified. For each type of boundary conditions, an analog of the Drinfeld-Jimbo presentation is given for the corresponding symmetry algebra. In particular, two new algebras arise that are, respectively, generated by the symmetry operators of the model with triangular and special $U_q(gl_2)-$invariant integrable boundary conditions.
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https://hal.archives-ouvertes.fr/hal-01398682
Contributor : Pascal Baseilhac Connect in order to contact the contributor
Submitted on : Thursday, November 17, 2016 - 3:45:51 PM
Last modification on : Tuesday, January 11, 2022 - 5:56:09 PM
Long-term archiving on: : Thursday, March 16, 2017 - 4:55:56 PM

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Non-abelian_sym_ArXiv-v1.pdf
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• HAL Id : hal-01398682, version 1
• ARXIV : 1611.05390

### Citation

Pascal Baseilhac, Samuel Belliard. Non-Abelian symmetries of the half-infinite XXZ spin chain. 2016. ⟨hal-01398682⟩

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