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Dipper-Donkin algebra as global symmetry of quantum chains

Suemi Rodriguez-Romo
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Abstract

We analize the role of GL_2, 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 GL_2 global symmetry. In doing this, we search all inner actions of GL_2 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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BibTeXRIS

Suemi Rodriguez-Romo. 1999-11-05. Dipper-Donkin algebra as global symmetry of quantum chains. https://doi.org/10.1088/0305-4470%2F32%2F40%2F308

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