On Integrable Quantum Group Invariant Antiferromagnets

Abstract

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 ${\mathcal{U}}_{\epsilon }(sl(2))$ transformations in nilpotent irreps for ${\epsilon }^3=1$. Some considerations on the centralizer of nilpotent representations and its representation theory are also presented.

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

References in corpus (3)

• New Integrable Deformations of Higher Spin Heisenberg-Ising Chains
• On a New Class of Integrable Models
• Quantum Harmonic Oscillator Algebra and Link Invariants

Cited by in corpus (5)

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• Free Fermionic Elliptic Reflection Matrices and Quantum Group Invariance
• q--Magnetism at roots of unity
• Spin-Anisotropy Commensurable Chains: Quantum Group Symmetries and N=2 SUSY
• Two Magnetic Impurities with Arbitrary Spins in Open Boundary t-J Model