Quantum geometry of algebra factorisations and coalgebra bundles

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dc.creatorBrzezinski, Tomasz
dc.creatorMajid, Shahn
dc.date1998-08-15
dc.date2000-05-18
dc.date.accessioned2026-07-07T05:25:43Z
dc.date.available2026-07-07T05:25:43Z
dc.descriptionWe develop the noncommutative geometry (bundles, connections etc.) associated to algebras that factorise into two subalgebras. An example is the factorisation of matrices $M_2(\C)=\C\Z_2\cdot\C\Z_2$. We also further extend the coalgebra version of theory introduced previously, to include frame resolutions and corresponding covariant derivatives and torsions. As an example, we construct $q$-monopoles on all the Podleś quantum spheres $S^2_{q,s}$.
dc.description39 pages, LaTeX. Final version, to appear in Commun. Math. Phys
dc.identifierhttps://arxiv.org/abs/math/9808067
dc.identifierhttp://arxiv.org/abs/math/9808067
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77286
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.subject81R50 58B30 16W30
dc.titleQuantum geometry of algebra factorisations and coalgebra bundles
dc.typetext

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