%0 Journal Article %A Mudrov, Andrey %D 2020 %T Equivariant vector bundles over quantum spheres %U https://figshare.le.ac.uk/articles/journal_contribution/Equivariant_vector_bundles_over_quantum_spheres/11379417 %2 https://figshare.le.ac.uk/ndownloader/files/20225226 %K math.QA %K quantum groups %K quantum spheres %K equivariant vector bundles %K symmetric pairs %X We quantizeSO(2n+ 1)-equivariant vector bundles on an even complex sphereS2nas one-sided projective modules over its quantized coordinate ring. We realize them in two different ways: as linear maps between pseudo-parabolic modules and as induced modules of the orthogonal quantum group. Based on this alternative, we study representations of a quantum symmetric pair related to S2nq and prove their complete reducibility. %I University of Leicester