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Finite dimensional representations of the quantum Lorentz group

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All finite dimensional irreducible representations of the quantum Lorentz group SL q (2,ℂ) are described explicitly and it is proved all finite dimensional representations of SL q (2,ℂ) are completely reducible. The conjecture of Podleś and Woronowicz will be answered affirmatively.

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Communicated by A. Connes

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Takeuchi, M. Finite dimensional representations of the quantum Lorentz group. Commun.Math. Phys. 144, 557–580 (1992). https://doi.org/10.1007/BF02099183

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