Cross Product Quantisation, Nonabelian Cohomology And Twisting Of Hopf Algebras

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dc.creatorMajid, Shahn
dc.date1993-11-30
dc.date.accessioned2026-07-07T09:14:09Z
dc.date.available2026-07-07T09:14:09Z
dc.descriptionThis is an introduction to work on the generalisation to quantum groups of Mackey's approach to quantisation on homogeneous spaces. We recall the bicrossproduct models of the author, which generalise the quantum double. We describe the general extension theory of Hopf algebras and the nonAbelian cohomology spaces $\CH^2(H,A)$ which classify them. They form a new kind of topological quantum number in physics which is visible only in the quantum world. These same cross product quantisations can also be viewed as trivial quantum principal bundles in quantum group gauge theory. We also relate this nonAbelian cohomology $\CH^2(H,\C )$ to Drinfeld's theory of twisting.
dc.description26 pages
dc.identifierhttps://arxiv.org/abs/hep-th/9311184
dc.identifierhttp://arxiv.org/abs/hep-th/9311184
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152571
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.titleCross Product Quantisation, Nonabelian Cohomology And Twisting Of Hopf Algebras
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