Superanalysis on quantum spaces

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Latex, 42 pages, more detailed introduction, section about basic concepts of superanalysis included, several modifications to

Scientific paper

10.1088/1126-6708/2006/01/084

Attention is focused on antisymmetrised versions of quantum spaces that are of particular importance in physics, i.e. Manin plane, q-deformed Euclidean space in three or four dimensions as well as q-deformed Minkowski space. For each of these quantum spaces we provide q-analogs for elements of superanalysis, i.e. Grassmann integrals, Grassmann exponentials, Grassmann translations and braided products with supernumbers.

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