On the quantum flag manifold SUq(3)/T2

Tomasz Brzeziński; Wojciech Szymański

doi:10.1007/978-3-030-34072-8_13

On the quantum flag manifold SUq(3)/T²

Tomasz Brzeziński^*, Wojciech Szymański

^*Corresponding author for this work

Department of Mathematics and Computer Science

Research output: Chapter in Book/Report/Conference proceeding › Book chapter › Research › peer-review

Abstract

The structure of the C^*-algebra of functions on the quantum flagmanifold (formula presented) is investigated. Building on the representation theory of (formula presented), we analyze irreducible representations and the primitive ideal space of (formula presented), with a view towards unearthing the “quantum sphere bundle”(formula presented).

Original language	English
Title of host publication	Geometric Methods in Physics XXXVII : Workshop and Summer School, Białowieża, Poland, 2018
Publisher	Springer
Publication date	2019
Pages	129-139
ISBN (Print)	978-3-030-34071-1
ISBN (Electronic)	978-3-030-34072-8
DOIs	https://doi.org/10.1007/978-3-030-34072-8_13
Publication status	Published - 2019

Series	Trends in Mathematics
ISSN	2297-0215

Keywords

quantum fibre bundle
Quantum flag manifold
quantum SU(3) group

Documents & Links

10.1007/978-3-030-34072-8_13

Cite this

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title = "On the quantum flag manifold SUq(3)/T2",

abstract = "The structure of the C*-algebra of functions on the quantum flagmanifold (formula presented) is investigated. Building on the representation theory of (formula presented), we analyze irreducible representations and the primitive ideal space of (formula presented), with a view towards unearthing the “quantum sphere bundle”(formula presented).",

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AB - The structure of the C*-algebra of functions on the quantum flagmanifold (formula presented) is investigated. Building on the representation theory of (formula presented), we analyze irreducible representations and the primitive ideal space of (formula presented), with a view towards unearthing the “quantum sphere bundle”(formula presented).

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KW - Quantum flag manifold

KW - quantum SU(3) group

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