Non-commutative 4-spheres based on all Podleś 2-spheres and beyond

Mathematics – Quantum Algebra

Scientific paper

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9 pages, LaTeX. A few references added

Scientific paper

A wide class of noncommutative spaces, including 4-spheres based on all the
quantum 2-spheres and suspensions of matrix quantum groups is described. For
each such space a noncommutative vector bundle is constructed. This generalises
and clarifies various recent constructions of noncommutative 4-spheres.

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