Construction of Covariant Differential Calculi on Quantum Homogeneous Spaces

Simple item page
dc.creatorHermisson, Ulrich
dc.date1998-06-02
dc.date1998-10-03
dc.date.accessioned2026-07-07T05:24:54Z
dc.date.available2026-07-07T05:24:54Z
dc.descriptionA method of constructing covariant differential calculi on a quantum homogeneous space is devised. The function algebra X of the quantum homogeneous space is assumed to be a left coideal of a coquasitriangular Hopf algebra H and to contain the coefficients of any matrix over H which is the two-sided inverse of one with entries in X. The method is based on partial derivatives. For the quantum sphere of Podles and the quantizations of symmetric spaces due to Noumi, Dijkhuizen and Sugitani the construction produces the subcalculi of the standard bicovariant calculus on the quantum group.
dc.description9 pages, LaTeX2e + amsmath + amsthm, final version (theory and false statement about higher order calculi deleted; small additions, e.g. Jurco-like alternative construction)
dc.identifierhttps://arxiv.org/abs/math/9806008
dc.identifierhttp://arxiv.org/abs/math/9806008
dc.identifierLett. Math. Phys. 46 (1998), 313-322
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76989
dc.subjectQuantum Algebra
dc.subject17B37, 46L87, 81R50
dc.titleConstruction of Covariant Differential Calculi on Quantum Homogeneous Spaces
dc.typetext

Files

Collections

arXiv