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We study (N 2 - 1)-dimensional left-covariant differential calculi on the quantum groupSL q (N) for which the generators of the quantum Lie algebras annihilate the quantum trace. In this way we obtain one distinguished calculus on SL q (2) (which corresponds to Woronowicz' 3D-calculus onSU q (2)) and two distinguished calculi on SL q (3) such that the higher-order...
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