On Integrable Quantum Group Invariant Antiferromagnets

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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IFF-5/92, 13 pages, LaTex file, 8 figures available from authors

Scientific paper

10.1016/0393-0440(93)90071-L

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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