Generalized quantization scheme for Lie algebras

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, , Citation V Lyakhovsky and A Mudrov 1992 J. Phys. A: Math. Gen. 25 L1139 DOI 10.1088/0305-4470/25/19/001

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1 Inst. fur Theor. Phys., Freie Univ. Berlin, Germany

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0305-4470/25/19/L1139

Abstract

The generalized form of the coproduct for quantum Lie algebras is proposed. It is demonstrated that the admissible quantum compositions can be easily found. The whole construction gives rise to the wide class of multidimensional Hopf algebras. The efficiency of the method is demonstrated on examples of nonsemisimple quantum universal enveloping algebras.

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