Twists of quantum groups and noncommutative field theory

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The role of quantum universal enveloping algebras of symmetries in constructing a noncommutative geometry of space-time and corresponding field theory is discussed. It is shown that in the framework of the twist theory of quantum groups, the noncommutative (super) space-time defined by coordinates with Heisenberg commutation relations, is (super) Poincaré invariant, as well as the corresponding field theory. Noncommutative parameters of global transformations are introduced.
Extended version of the Karlstadt conference report (July, 2004); Latex, 12 pages, no figures

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