The Quantum Flag Manifold SUq(3)/T 2 as an Example of a Noncommutative Sphere Bundle

Tomasz Brzezinski; Wojciech Szymanski

doi:10.1512/iumj.2021.70.8656

The Quantum Flag Manifold SUq(3)/T 2 as an Example of a Noncommutative Sphere Bundle

Tomasz Brzezinski, Wojciech Szymanski^*

^*Corresponding author for this work

Department of Mathematics and Computer Science

Swansea University

Research output: Contribution to journal › Journal article › Research › peer-review

Abstract

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

Original language	English
Journal	Indiana University Mathematics Journal
Volume	70
Issue number	5
Pages (from-to)	1945-1969
ISSN	0022-2518
DOIs	https://doi.org/10.1512/iumj.2021.70.8656
Publication status	Published - 2021

Keywords

noncommutative fibre bundle
flag manifold
quantum SU(3) group

Documents & Links

10.1512/iumj.2021.70.8656

https://arxiv.org/pdf/1906.04083

Cite this

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title = "The Quantum Flag Manifold SUq(3)/T 2 as an Example of a Noncommutative Sphere Bundle",

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

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

KW - noncommutative fibre bundle

KW - flag manifold

KW - quantum SU(3) group

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DO - 10.1512/iumj.2021.70.8656

M3 - Journal article

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JO - Indiana University Mathematics Journal

JF - Indiana University Mathematics Journal

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The Quantum Flag Manifold SUq(3)/T 2 as an Example of a Noncommutative Sphere Bundle

Abstract

Keywords

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