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Quantum Homogeneous Spaces and Coalgebra Bundles

q-alg 2009-10-30 v1 数学物理 math.MP 量子代数

摘要

It is shown that quantum homogeneous spaces of a quantum group H can be viewed as fibres of quantum fibrations with the total space H that are dual to coalgebra bundles. As concrete examples of such structures the fibrations with the quantum 2-sphere and the quantum hyperboloid fibres are considered.

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引用

@article{arxiv.q-alg/9704015,
  title  = {Quantum Homogeneous Spaces and Coalgebra Bundles},
  author = {Tomasz Brzezinski},
  journal= {arXiv preprint arXiv:q-alg/9704015},
  year   = {2009}
}

备注

8 pages, LaTeX. Contribution to the proceedings of XV Workshop an Geometric Methods in Physics, Bialowieza 1996