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.

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CWI
Department of Analysis, Algebra and Geometry [AM]

van den Hijligenberg, N.W, & Martini, R. (1995). From exponential coordinates to bicovariant differential calculi on matrix quantum groups. Department of Analysis, Algebra and Geometry [AM]. CWI.