English

Non-commutative 4-spheres based on all Podle\'s 2-spheres and beyond

Quantum Algebra 2007-05-23 v2 Mathematical Physics math.MP

Abstract

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.

Keywords

Cite

@article{arxiv.math/0101129,
  title  = {Non-commutative 4-spheres based on all Podle\'s 2-spheres and beyond},
  author = {Tomasz Brzezinski and Cezary Gonera},
  journal= {arXiv preprint arXiv:math/0101129},
  year   = {2007}
}

Comments

9 pages, LaTeX. A few references added

R2 v1 2026-07-22T16:36:50.706Z