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Quantum geometry of algebra factorisations and coalgebra bundles

Tomasz Brzezinski·Shahn Majid
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Abstract

We 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 $S^2_{q,s}$.

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BibTeXRIS

Tomasz Brzezinski, Shahn Majid. 2000-05-18. Quantum geometry of algebra factorisations and coalgebra bundles. https://arxiv.org/abs/math/9808067

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