GLq(N)-Covariant Quantum Algebras and Covariant Differential Calculus
High Energy Physics - Theory
2010-11-01 v1
Abstract
We consider GLq(N)-covariant quantum algebras with generators satisfying quadratic polynomial relations. We show that, up to some inessential arbitrariness, there are only two kinds of such quantum algebras, namely, the algebras with q-deformed commutation and q-deformed anticommutation relations. The connection with the bicovariant differential calculus on the linear quantum groups is disscussed.
Keywords
Cite
@article{arxiv.hep-th/9211093,
title = {GLq(N)-Covariant Quantum Algebras and Covariant Differential Calculus},
author = {A. P. Isaev and P. N. Pyatov},
journal= {arXiv preprint arXiv:hep-th/9211093},
year = {2010}
}
Comments
13 pages, Dubna Preprint JINR E2-92-477