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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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first_indexed 2019-10-18T14:24:00Z
last_indexed 2021-12-15T04:18:08Z
id cronfa52508
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spelling 2021-12-14T16:32:31.1577435 v2 52508 2019-10-18 The Quantum Flag Manifold SUq(3)/T2 as an Example of a Noncommutative Sphere Bundle 30466d840b59627325596fbbb2c82754 0000-0001-6270-3439 Tomasz Brzezinski Tomasz Brzezinski true false 2019-10-18 SMA 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. Journal Article arXiv 11 6 2019 2019-06-11 https://arxiv.org/abs/1906.04083 Preprint article before certification by peer review available via arXiv: https://arxiv.org/abs/1906.04083 COLLEGE NANME Mathematics COLLEGE CODE SMA Swansea University 2021-12-14T16:32:31.1577435 2019-10-18T09:15:45.8728548 Faculty of Science and Engineering School of Mathematics and Computer Science - Mathematics Tomasz Brzezinski 0000-0001-6270-3439 1 Wojciech Szymanski 2
title The Quantum Flag Manifold SUq(3)/T2 as an Example of a Noncommutative Sphere Bundle
spellingShingle The Quantum Flag Manifold SUq(3)/T2 as an Example of a Noncommutative Sphere Bundle
Tomasz Brzezinski
title_short The Quantum Flag Manifold SUq(3)/T2 as an Example of a Noncommutative Sphere Bundle
title_full The Quantum Flag Manifold SUq(3)/T2 as an Example of a Noncommutative Sphere Bundle
title_fullStr The Quantum Flag Manifold SUq(3)/T2 as an Example of a Noncommutative Sphere Bundle
title_full_unstemmed The Quantum Flag Manifold SUq(3)/T2 as an Example of a Noncommutative Sphere Bundle
title_sort The Quantum Flag Manifold SUq(3)/T2 as an Example of a Noncommutative Sphere Bundle
author_id_str_mv 30466d840b59627325596fbbb2c82754
author_id_fullname_str_mv 30466d840b59627325596fbbb2c82754_***_Tomasz Brzezinski
author Tomasz Brzezinski
author2 Tomasz Brzezinski
Wojciech Szymanski
format Journal article
container_title arXiv
publishDate 2019
institution Swansea University
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Mathematics and Computer Science - Mathematics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Mathematics and Computer Science - Mathematics
url https://arxiv.org/abs/1906.04083
document_store_str 0
active_str 0
description 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_date 2019-06-11T04:04:55Z
_version_ 1763753376557826048
score 11.013641

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