From exponential coordinates to bicovariant differential calculi on matrix quantum groups

N. van den Hijligenberg, N.W. van den Hijligenberg, Ruud Martini

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    Abstract

    A procedure to obtain bicovariant differential calculi on matrix quantum groups is presented. The construction is based on the description of the matrix quantum group as a quantized universal enveloping algebra by the use of exponential coordinates. The procedure is illustrated by applying it to the two-dimensional solvable quantum group and the Heisenberg quantum group.
    Original languageEnglish
    Place of PublicationAmsterdam
    PublisherStichting Mathematisch Centrum
    Number of pages11
    Publication statusPublished - 1995

    Publication series

    NameReport / Department of Algebra, Analysis and Geometry
    PublisherStichting Mathematisch Centrum
    No.AM-R9518

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    Keywords

    • METIS-141349
    • IR-102314

    Cite this

    van den Hijligenberg, N., van den Hijligenberg, N. W., & Martini, R. (1995). From exponential coordinates to bicovariant differential calculi on matrix quantum groups. (Report / Department of Algebra, Analysis and Geometry; No. AM-R9518). Amsterdam: Stichting Mathematisch Centrum.