Noncommutative Kähler structures on quantum homogeneous spaces
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Publication:1678158
DOI10.1016/J.AIM.2017.09.031zbMath1432.58004arXiv1602.08484OpenAlexW2963427603MaRDI QIDQ1678158
Publication date: 14 November 2017
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1602.08484
Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Differential geometry of homogeneous manifolds (53C30) Geometry of quantum groups (58B32) Local differential geometry of Hermitian and Kählerian structures (53B35)
Related Items (13)
An algebraic framework for noncommutative bundles with homogeneous fibres ⋮ A Dolbeault-Dirac spectral triple for the \(B_2\)-irreducible quantum flag manifold ⋮ Noncommutative complex structures on quantum homogeneous spaces ⋮ Covariant connections on bicovariant differential calculus ⋮ A Borel-Weil theorem for the quantum Grassmannians ⋮ A Dolbeault-Dirac spectral triple for quantum projective space ⋮ Twisted Hochschild homology of quantum flag manifolds and Kähler forms ⋮ Holomorphic relative Hopf modules over the irreducible quantum flag manifolds ⋮ Generalized symmetry in noncommutative (complex) geometry ⋮ Quantum flag manifolds, quantum symmetric spaces and their associated universal \(K\)-matrices ⋮ Kähler structures on quantum irreducible flag manifolds ⋮ Noncommutative Kähler structure on \(C^\ast\)-dynamical systems ⋮ Positive line modules over the irreducible quantum flag manifolds
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