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Differential calculi over quantum groups

Tom 61 / 2003

G. J. Murphy Banach Center Publications 61 (2003), 157-170 MSC: 46L05, 46L65, 16W30, 28B32 DOI: 10.4064/bc61-0-11

Streszczenie

An exposition is given of recent work of the author and others on the differential calculi that occur in the setting of compact quantum groups. The principal topics covered are twisted graded traces, an extension of Connes' cyclic cohomology, invariant linear functionals on covariant calculi and the Hodge, Dirac and Laplace operators in this setting. Some new results extending the classical de Rham theorem and Poincaré duality are also discussed.

Autorzy

  • G. J. MurphyDepartment of Mathematics
    National University of Ireland
    Cork, Ireland
    e-mail

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