On Certain Quantum Deformations of $gl(N,R)$
High Energy Physics - Theory
2009-10-28 v1 Quantum Algebra
Abstract
In this paper all deformations of the general linear group, subject to certain restrictions which in particular ensure a smooth passage to the Lie group limit, are obtained. Representations are given in terms of certains sets of creation and annihilation operators. These creation and annihilation operators may belong to a generalisation of the -quark type or -hadronic type, of -boson or -fermion type. We are also led to a natural definition of -direct sums of q-algebras.
Keywords
Cite
@article{arxiv.hep-th/9406044,
title = {On Certain Quantum Deformations of $gl(N,R)$},
author = {D. B. Fairlie and J. Nuyts},
journal= {arXiv preprint arXiv:hep-th/9406044},
year = {2009}
}
Comments
15 pages