The Quantum Flag Manifold $\mathbf{SU_q(3)/\mathbb{T}^2}$ as an Example of a Noncommutative Sphere Bundle

Tomasz Brzezi\'nski; Wojciech Szyma\'nski

arxiv: 1906.04083 · v2 · pith:P6CMNFWYnew · submitted 2019-06-10 · 🧮 math.QA

The Quantum Flag Manifold mathbf{SU_q(3)/mathbb{T}²} as an Example of a Noncommutative Sphere Bundle

Tomasz Brzezi\'nski , Wojciech Szyma\'nski This is my paper

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keywords quantumbundleflagmanifoldmathbbnoncommutativespherearising

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The quantum flag manifold ${SU_q(3)/\mathbb{T}^2}$ is interpreted as a noncommutative bundle over the quantum complex projective plane with the quantum or Podle\'s sphere as a fibre. A connection arising from the (associated) quantum principal $U_q(2)$-bundle is described.

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The Quantum Flag Manifold mathbf{SU_q(3)/mathbb{T}²} as an Example of a Noncommutative Sphere Bundle

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