Abstract
We discuss the role of quantum universal enveloping algebras of symmetries in constructing the noncommutative geometry of space-time and the corresponding field theory. 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)Poincare invariant, as well as the corresponding field theory. Noncommutative parameters of global transformations are introduced. Bibliography: 30 titles.
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