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On the quantum flag manifold SUq(3)/T2

  • Tomasz BrzezińskiEmail author
  • Wojciech Szymański
Conference paper
Part of the Trends in Mathematics book series (TM)

Abstract

The structure of the C *-algebra of functions on the quantum flag manifold SUq(3)/T2 is investigated. Building on the representation theory of C ( SUq(3) ) , we analyze irreducible representations and the primitive ideal space of C ( SUq(3)/T2) , with a view towards unearthing the “quantum sphere bundle” CP1 q → SUq(3)/T2 → CP2 q .

Keywords

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

Mathematics Subject Classification (2000)

46L65 81R60 

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Department of Mathematics, Swansea University Swansea University Bay Campus Fabian Way, Swansea SA1 8EN, U.K.SwanseaUK
  2. 2.Department of Mathematics University of Białystok K. Ciołkowskiego 1MBiałystokPoland
  3. 3.Department of Mathematics and Computer Science University of Southern DenmarkOdenseDenmark

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