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On the quantum flag manifold $SU_q(3)/\mathbb{T}^2$
Published 26 Mar 2019 in math.QA | (1903.10843v2)
Abstract: The structure of the $C*$-algebra of functions on the quantum flag manifold $SU_q(3)/\mathbb{T}2$ is investigated. Building on the representation theory of $C(SU_q(3))$, we analyze irreducible representations and the primitive ideal space of $C(SU_q(3)/\mathbb{T}2)$, with a view towards unearthing the `quantum sphere bundle' $\mathbb{C} P_q1 \to SU_q(3)/\mathbb{T}2 \to \mathbb{C} P_q2$
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