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

A. P. Isaev; P. N. Pyatov

doi:10.1016/0375-9601(93)90654-i

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arXiv · hep-th/9211093

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

A. P. Isaev·P. N. Pyatov

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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.

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A. P. Isaev, P. N. Pyatov. 1992-11-19. GLq(N)-Covariant Quantum Algebras and Covariant Differential Calculus. https://doi.org/10.1016/0375-9601(93)90654-i

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