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arxiv: hep-th/9205109 · v1 · submitted 1992-05-29 · ✦ hep-th · cond-mat

On Integrable Quantum Group Invariant Antiferromagnets

classification ✦ hep-th cond-mat
keywords epsilonintegrableinvariantnilpotentachieveantiferromagnetscentralizerchain
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A new open spin chain hamiltonian is introduced. It is both integrable (Sklyanin`s type $K$ matrices are used to achieve this) and invariant under ${\cal U}_{\epsilon}(sl(2))$ transformations in nilpotent irreps for $\epsilon^3=1$. Some considerations on the centralizer of nilpotent representations and its representation theory are also presented.

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