Geometric Methods in Physics XXXVII pp 129-139 | Cite as
On the quantum flag manifold \({{SU}_{q}} (3)/{\mathbb{T}^2}\)
Conference paper
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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” \( \mathbb{C}{{P}^1_q} \rightarrow {SU_q}(3)/\mathbb{T}^2 \rightarrow \mathbb{C}{{P}^2_q}\) .
Keywords
Quantum flag manifold quantum fibre bundle quantum SU(3) group.Mathematics Subject Classification (2000)
46L65 81R60.Preview
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