On the quantum flag manifold SUq(3)/T2

DOI10.1007/978-3-030-34072-8_13zbMath1455.46075arXiv1903.10843OpenAlexW3104495012MaRDI QIDQ3294712

Tomasz Brzeziński, Wojciech Szymański

Publication date: 29 June 2020

Published in: Trends in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.10843

zbMATH Keywords

quantum fibre bundlequantum flag manifoldquantum SU(3) group

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)

Cites Work

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• Quantized algebras of functions on homogeneous spaces with Poisson stabilizers
• The twisted SU(3) group. Irreducible *-representations of the \(C^*\)-algebra \(C(S_{\mu}U(3))\)
• Compact matrix pseudogroups
• Twisted \(\text{SU}(2)\) group. An example of a non-commutative differential calculus
• Quantized flag manifolds and irreducible \(*\)-representations
• Quantum group gauge theory on quantum spaces
• The Chern-Galois character.
• Quantum spheres and projective spaces as graph algebras
• Strong connections on quantum principal bundles

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