On the quantum flag manifold SUq(3)/T2

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 .