Circle and line bundles over generalized Weyl algebras

DOI10.1007/S10468-015-9562-7zbMath1373.16049arXiv1405.3105OpenAlexW2169475155MaRDI QIDQ269834

Tomasz Brzeziński

Publication date: 6 April 2016

Published in: Algebras and Representation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.3105

zbMATH Keywords

generalized Weyl algebraprincipal comodule algebraprojectively graded algebrastrongly graded algebra

Mathematics Subject Classification ID

Rings arising from noncommutative algebraic geometry (16S38) (Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Geometry of quantum groups (58B32) Graded rings and modules (associative rings and algebras) (16W50) Noncommutative geometry (à la Connes) (58B34)

Related Items (4)

Noncommutative fiber products and lattice models ⋮ Clifford and Weyl superalgebras and spinor representations ⋮ Noncommutative differential geometry of generalized Weyl algebras. ⋮ Bivariant \(K\)-theory of generalized Weyl algebras

Cites Work

• Unnamed Item
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• Pimsner algebras and Gysin sequences from principal circle actions
• Hochschild homology and cohomology of generalized Weyl algebras: the quantum case.
• Twisted Calabi-Yau property of Ore extensions.
• Noncommutative index theory for mirror quantum spheres
• Dualising complexes and twisted Hochschild (co)homology for Noetherian Hopf algebras.
• Quantum spheres
• Localization for quantum groups
• Injective resolutions of some regular rings
• Quantum group gauge theory on quantum spaces
• Noncommutative deformations of type-\(A\) Kleinian singularities
• Hochschild homology and cohomology of generalized Weyl algebras.
• The Chern-Galois character.
• Quantum teardrops
• Bundles over quantum sphere and noncommutative index theorem
• Quantum lens spaces and graph algebras.
• Tensor homological minimal algebras, global dimension of the tensor product of algebras and of generalized Weyl algebras
• Strong connections on quantum principal bundles
• Weighted circle actions on the Heegaard quantum sphere
• Line bundles and the Thom construction in noncommutative geometry
• Some properties of non-commutative regular graded rings
• Strong connections and Chern-Connes pairing in the Hopf-Galois theory

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