Titlebook: Quantum Groups and Noncommutative Spaces; Perspectives on Quan Matilde Marcolli,Deepak Parashar Textbook 2011 Vieweg+Teubner Verlag | Sprin

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Laplacians and gauged Laplacians on a quantum Hopf bundle,ose total space algebra SU.(2) is equipped with the 3d left covariant differential calculus by Woronowicz. The introduction of a Hodge duality on both . and on . allows for the study of Laplacians and of gauged Laplacians.

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,Locally compact quantum groups. Radford’s S4 formula,imilarly, there is this element . in the dual Hopf algebra .. Radford showed that . for all a in . where . is the antipode of . and where . and . are used to denote the standard left and right actions of . on .. The formula still holds for multiplier Hopf algebras with integrals (algebraic quantum g

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Categorical aspects of Hopf algebras,t is this aspect which we want to focus on in this survey. Our intention is to present techniques and results from module and category theory which lead to a deeper understanding of these structures. We begin with recalling parts from module theory which do serve our purpose but which may also find

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Laplacians and gauged Laplacians on a quantum Hopf bundle,ose total space algebra SU.(2) is equipped with the 3d left covariant differential calculus by Woronowicz. The introduction of a Hodge duality on both . and on . allows for the study of Laplacians and of gauged Laplacians.

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0179-2156 tum Groups, bridging between the algebraic, representation theoretic, analytic, and differential-geometric approaches. It also covers recent developments in Noncommutative Geometry, which have close relations to quantization and quantum group symmetries. The volume collects surveys by experts which

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