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^*

^*Kontaktforfatter

Institut for Matematik og Datalogi

Swansea University

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › 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.

Originalsprog	Engelsk
Tidsskrift	Indiana University Mathematics Journal
Vol/bind	70
Udgave nummer	5
Sider (fra-til)	1945-1969
ISSN	0022-2518
DOI	https://doi.org/10.1512/iumj.2021.70.8656
Status	Udgivet - 2021

Dokumenter og links

10.1512/iumj.2021.70.8656

https://arxiv.org/pdf/1906.04083

Citationsformater

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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. ",

keywords = "noncommutative fibre bundle, flag manifold, quantum SU(3) group",

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AU - Szymanski, Wojciech

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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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