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arXiv · 1906.04083

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

Tomasz Brzeziński·Wojciech Szymański
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Abstract

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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Tomasz Brzeziński, Wojciech Szymański. 2019-06-10. The Quantum Flag Manifold $\mathbf{SU_q(3)/\mathbb{T}^2}$ as an Example of a Noncommutative Sphere Bundle. https://arxiv.org/abs/1906.04083

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