Dipper-Donkin algebra as global symmetry of quantum chains
Quantum Algebra
2008-11-26 v1 High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.math/9911034,
title = {Dipper-Donkin algebra as global symmetry of quantum chains},
author = {Suemi Rodriguez-Romo},
journal= {arXiv preprint arXiv:math/9911034},
year = {2008}
}
Comments
30 pages, 3 Figures, LaTex2e