Dipper-Donkin algebra as global symmetry of quantum chains
Abstract
Description
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.
30 pages, 3 Figures, LaTex2e
30 pages, 3 Figures, LaTex2e