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

SDU link

Tjek adgangen til materialet i Syddansk Universitetsbiblioteks søgemaskine

Citationsformater

@article{d58b827d3d864a76b718ca33a48ea836,

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)/\textbackslash{}T\textasciicircum{}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",

author = "Tomasz Brzezinski and Wojciech Szymanski",

year = "2021",

doi = "10.1512/iumj.2021.70.8656",

language = "English",

volume = "70",

pages = "1945--1969",

journal = "Indiana University Mathematics Journal",

issn = "0022-2518",

publisher = "Indiana University",

number = "5",

}

TY - JOUR

T1 - The Quantum Flag Manifold SUq(3)/T 2 as an Example of a Noncommutative Sphere Bundle

AU - Brzezinski, Tomasz

AU - Szymanski, Wojciech

PY - 2021

Y1 - 2021

N2 - 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.

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

U2 - 10.1512/iumj.2021.70.8656

DO - 10.1512/iumj.2021.70.8656

M3 - Journal article

SN - 0022-2518

VL - 70

SP - 1945

EP - 1969

JO - Indiana University Mathematics Journal

JF - Indiana University Mathematics Journal

IS - 5

ER -