Quantum geometry of algebra factorisations and coalgebra bundles

DOI10.1007/PL00005530zbMath0979.58002arXivmath/9808067OpenAlexW2011729366MaRDI QIDQ5940510

Tomasz Brzeziński, Shahn Majid

Publication date: 9 August 2001

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9808067

zbMATH Keywords

algebra bundlealgebra factorisationGalois conditionquantum sphere

Mathematics Subject Classification ID

Rings arising from noncommutative algebraic geometry (16S38) Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Geometry of quantum groups (58B32)

Related Items

De Rham complex for quantized irreducible flag manifolds, The Galois theory of matrix \(C\)-rings., An algebraic framework for noncommutative bundles with homogeneous fibres, Graph \(C^ *\)-algebras and \({\mathbb Z}_ 2\)-quotients of quantum spheres., Non commutative truncated polynomial extensions., Noncommutative circle bundles and new Dirac operators, An explicit formula for a strong connection., Chern numbers for two families of noncommutative Hopf fibrations, On the classification of twisting maps between \(K^n\) and \(K^m\)., Line bundles and the Thom construction in noncommutative geometry, \(q\)-fuzzy spheres and quantum differentials on \(B_q[\mathrm{SU}_2\) and \(U_q(\mathrm{su}_2)\)], Cyclic-homology Chern-Weil theory for families of principal coactions, Holomorphic relative Hopf modules over the irreducible quantum flag manifolds, Bicrossproducts of multiplier Hopf algebras., Fibre product approach to index pairings for the generic Hopf fibration of SU_q(2), Twisted tensor products of K³ with K³, DEFORMATION OF ALGEBRA FACTORISATIONS, The spectral geometry of the equatorial Podleś sphere, Classifying bicrossed products of Hopf algebras., Poisson principal bundles, Hopf fibration and monopole connection over the contact quantum spheres, A locally trivial quantum Hopf fibration., NON-COMMUTATIVE CONNECTIONS OF THE SECOND KIND, Stratified transversality by isotopy, Twisted tensor products of \(K^n\) with \(K^m\), On the relationship between classical and deformed Hopf fibrations, Geometry of quantum spheres, The quantum flag manifold SU_q(3)/\mathbb{t}^2 as an example of a noncommutative sphere bundle, Twisted configurations over quantum Euclidean spheres