The Quantum Flag Manifold \mathbfSU_q(3)/\mathbbT² as an Example of a Noncommutative Sphere Bundle

2019/06/10 by Brzeziński, Tomasz, Szymański, Wojciech
#FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.1906.04083

Abstract

The quantum flag manifold SU_q(3)/\mathbbT² is interpreted as a noncommutative bundle over the quantum complex projective plane with the quantum or Podleś sphere as a fibre. A connection arising from the (associated) quantum principal U_q(2)-bundle is described.

Related

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• Algebraic K₀ of the Quantum Sphere and Noncommutative Index Theorem