Non-commutative Euclidean and Minkowski structures |
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Authors: | A Lorek W Weich J Wess |
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Institution: | 1. Sektion Physik der Ludwig-Maximilians-Universit?t, Theresienstrasse 37, D-80333, München, Germany 2. Max-Planck-Institut f ür Physik (Werner-Heisenberg-Institut), F?hringer Ring 6, D-80805, München, Germany
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Abstract: | A noncommutative *-algebra that generalizes the canonical commutation relations and that is covariant under the quantum groups SO q (3) or SO q(1, 3) is introduced. The generating elements of this algebra are hermitean and can be identified with coordinates, momenta and angular momenta. In addition a unitary scaling operator is part of the algebra. |
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