Browsing Fakultet for teknologi, kunst og design (TKD) by Subject "Quantum homogeneous spaces"
Now showing items 1-3 of 3
-
Kahler structures on quantum irreducible flag manifolds
(Journal of Geometry and Physics;Volume 145, November 2019, 103477, Journal article; Peer reviewed, 2019-07-11)We prove that all quantum irreducible flag manifolds admit Kähler structures, as defined by Ó Buachalla. In order to show this result, we also prove that the differential calculi defined by Heckenberger and Kolb are ... -
Quantum flag manifolds, quantum symmetric spaces and their associated universal K-matrices
(Advances in Mathematics;Volume 366, 3 June 2020, 107029, Journal article; Peer reviewed, 2020-06-03)Let U be a connected, simply connected compact Lie group with complexification G. Let u and g be the associated Lie algebras. Let Γ be the Dynkin diagram of g with underlying set I, and let Uq(u) be the associated quantized ... -
Quantum Riemannian geometry of quantum projective spaces
(Journal of Geometry and Physics;Volume 179, September 2022, 104611, Peer reviewed; Journal article, 2022-07-11)We study the quantum Riemannian geometry of quantum projective spaces of any dimension. In particular, we compute the Riemann and Ricci tensors using previously introduced quantum metrics and quantum Levi-Civita connections. ...