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arxiv: hep-th/0411180 · v2 · submitted 2004-11-19 · ✦ hep-th

Superanalysis on quantum spaces

classification ✦ hep-th
keywords grassmannquantumspacesq-deformedspacesuperanalysisantisymmetrisedattention
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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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