Dipper-Donkin algebra as global symmetry of quantum chains
Abstract
We analize the role of GL2, a quantum group constructed by Dipper-Donkin, as a global symmetry for quantum chains, and show the way to construct all possible Hamiltonians for four states quantum chains with GL2 global symmetry. In doing this, we search all inner actions of GL2 on the Clifford algebra C(1,3) and show them. We also introduce the corresponding operator algebras, invariants and Hamiltonians, explicitly.
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