English

Quantum Homogeneous Spaces as Quantum Quotient Spaces

q-alg 2009-10-28 v1 Quantum Algebra

Abstract

We show that certain embeddable homogeneous spaces of a quantum group that do not correspond to a quantum subgroup still have the structure of quantum quotient spaces. We propose a construction of quantum fibre bundles on such spaces. The quantum plane and the general quantum two-spheres are discussed in detail.

Keywords

Cite

@article{arxiv.q-alg/9509015,
  title  = {Quantum Homogeneous Spaces as Quantum Quotient Spaces},
  author = {Tomasz Brzezinski},
  journal= {arXiv preprint arXiv:q-alg/9509015},
  year   = {2009}
}

Comments

AmsTeX, 18pp

R2 v1 2026-07-22T19:20:41.849Z