GLq(N)-Covariant Quantum Algebras and Covariant Differential Calculus

Details GLq(N)-Covariant Quantum Algebras and Covariant Differential Calculus GLq(N)-Covariant Quantum Algebras and Covariant Differential Calculus

1992-11-19

arxiv.org/abs/hep-th/9211093v1

Phys.Lett.A179:81-90,1993

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, Dubna Preprint JINR E2-92-477

Scientific paper

10.1016/0375-9601(93)90654-I

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.

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