GL _{q}( N)covariant quantum algebras and covariant differential calculus
Abstract
We consider GL _{q}( 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 qdeformed commutation and qdeformed anticommutation relations. The connection with the bicovariant differential calculus on the linear quantum groups is discussed.
 Publication:

Physics Letters A
 Pub Date:
 August 1993
 DOI:
 10.1016/03759601(93)90654I
 arXiv:
 arXiv:hepth/9211093
 Bibcode:
 1993PhLA..179...81I
 Keywords:

 High Energy Physics  Theory
 EPrint:
 13 pages, Dubna Preprint JINR E292477