We show that the noncommutative spheres of Connes and Landi are quantum homogeneous spaces for certain compact quantum groups. We give a general construction of homogeneous spaces which support noncommutative spin geometries.

We quantize homogeneous vector bundles over an even complex sphere $\mathbb{S}^{2n}$ as one-sided projective modules its quantized coordinate ring. realize them in two different ways: locally finite $\mathbb{C}$-homs between pseudo-parabolic Verma and induced of the quantum orthogonal group. Based on this alternative, we study representations a symmetric pair related to $\mathbb{S}^{2n}_q$ prov...

Fluid phase endocytic uptake of external solutes in plant cells was further substantiated using artificial polystyrene nano-spheres (40 nm) and CdSe/ZnS quantum dots (20 nm). Both types of artificial nano-particles were taken up by sycamore-cultured cells. However, whereas polystyrene nano-spheres were delivered to the central vacuole, CdSe/ZnS nano-dots were sequestered into cytoplasmic vesicu...

We show that the relations which define the algebras of the quantum Euclidean planes Rq can be expressed in terms of projections provided that the unique central element, the radial distance from the origin, is fixed. The resulting reduced algebras without center are the quantum Euclidean spheres SN−1 q . The projections e = e 2 = e are elements in Mat 2n(S N−1 q ), with N = 2n+1 or N = 2n, and...