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The Quantum Flag Manifold SUq(3)/T2 as an Example of a Noncommutative Sphere Bundle

Tomasz Brzezinski Orcid Logo, Wojciech Szymanski

arXiv

Swansea University Author: Tomasz Brzezinski Orcid Logo

Abstract

The quantum flag manifold ${SU_q(3)/\T^2}$ is interpreted as a noncommtative 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.

Published in: arXiv
Published: 2019
Online Access: https://arxiv.org/abs/1906.04083
URI: https://cronfa.swan.ac.uk/Record/cronfa52508
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Abstract: The quantum flag manifold ${SU_q(3)/\T^2}$ is interpreted as a noncommtative 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.
Item Description: Preprint article before certification by peer review available via arXiv: https://arxiv.org/abs/1906.04083
College: College of Science