English

The Quantum Flag Manifold $\mathbf{SU_q(3)/\mathbb{T}^2}$ as an Example of a Noncommutative Sphere Bundle

Quantum Algebra 2019-06-12 v2

Abstract

The quantum flag manifold SUq(3)/T2{SU_q(3)/\mathbb{T}^2} is interpreted as a noncommutative bundle over the quantum complex projective plane with the quantum or Podle\'s sphere as a fibre. A connection arising from the (associated) quantum principal Uq(2)U_q(2)-bundle is described.

Keywords

Cite

@article{arxiv.1906.04083,
  title  = {The Quantum Flag Manifold $\mathbf{SU_q(3)/\mathbb{T}^2}$ as an Example of a Noncommutative Sphere Bundle},
  author = {Tomasz Brzeziński and Wojciech Szymański},
  journal= {arXiv preprint arXiv:1906.04083},
  year   = {2019}
}

Comments

18 pages

R2 v1 2026-06-23T09:49:03.476Z