On the quantum flag manifold $SU_q(3)/\mathbb{T}^2$

Tomasz Brzeziński; Wojciech Szymański

On the quantum flag manifold $SU_q(3)/\mathbb{T}^2$

Quantum Algebra 2019-04-02 v2

Authors: Tomasz Brzeziński , Wojciech Szymański

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' $\mathbb{C} P_q^1 \to SU_q(3)/\mathbb{T}^2 \to \mathbb{C} P_q^2$

Keywords

quantum groups

Cite

@article{arxiv.1903.10843,
  title  = {On the quantum flag manifold $SU_q(3)/\mathbb{T}^2$},
  author = {Tomasz Brzeziński and Wojciech Szymański},
  journal= {arXiv preprint arXiv:1903.10843},
  year   = {2019}
}

Comments

11 pages; to appear in the proceedings of XXXVI Workshop on Geometric Methods in Physics, Bia\l owie\.za 2018; v2 two references added

On the quantum flag manifold $SU_q(3)/\mathbb{T}^2$

Abstract

Keywords

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