Abstract
A simpler definition for a class of 2-parameter quantum groups associated to semisimple Lie algebras is given in terms of Euler form. Their positive parts turn out to be 2-cocycle deformations of each other under some conditions. An operator realization of the positive part is given.
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This work was partially supported by the National Natural Science Foundation of China (Grant Nos. 10431040, 10728102), the TRAPOYT, the FUDP and the Priority Academic Discipline from the MOE of China, the SRSTP from the STCSM, the Shanghai Priority Academic Discipline from the SMEC
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Hu, N., Pei, Y. Notes on 2-parameter quantum groups I. Sci. China Ser. A-Math. 51, 1101–1110 (2008). https://doi.org/10.1007/s11425-008-0026-y
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DOI: https://doi.org/10.1007/s11425-008-0026-y