Blar i TKD - Institutt for informasjonsteknologi på tidsskrift "Advances in Mathematics"
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Fubini-Study metrics and Levi-Civita connections on quantum projective spaces
(Peer reviewed; Journal article, 2021)We introduce analogues of the Fubini-Study metrics and the corresponding Levi-Civita connections on quantum projective spaces. We define the quantum metrics as two-tensors, symmetric in the appropriate sense, in terms of ... -
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 ...