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On the Construction of Covariant Differential Calculi on Quantum Homogeneous Spaces

Konrad Schmuedgen
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Abstract

Let A be a coquasitriangular Hopf algebra and X the subalgebra of A generated by a row of a matrix corepresentation u or by a row of u and a row of the contragredient representation u^c. In the paper left-covariant first order differential calculi on the quantum group A are constructed and the corresponding induced calculi on the left quantum space X are described. The main tool for these constructions are the L-functionals associated with u. The results are applied to the quantum homogeneous space GL_q(N)/GL_q(N-1).

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BibTeXRIS

Konrad Schmuedgen. 1998-04-30. On the Construction of Covariant Differential Calculi on Quantum Homogeneous Spaces. https://doi.org/10.1016/s0393-0440(98)00048-5

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