1998/06/30 by Ulrich Hermisson
Mathematics · #math.QA #msc:17B37 #msc:46L87 #msc:81R50
published as Lett. Math. Phys. 46 (1998), 313-322 · 9 pages, LaTeX2e + amsmath + amsthm, final version (theory and false statement about higher order calculi deleted; small additions, e.g. Jurco-like alternative construction)
arxiv created 1998/10/03 · arxiv updated 2009/11/30
A 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.