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The Quantum Flag Manifold $SU_q(3)/\T^2$ as an Example of a Noncommutative Sphere Bundle / Tomasz, Brzezinski

Indiana University Mathematics Journal

Swansea University Author: Tomasz, Brzezinski

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: Indiana University Mathematics Journal
Published: 2019
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.
College: College of Science