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Notes on 2-parameter quantum groupsⅠ 被引量:5

Notes on 2-parameter quantum groupsⅠ
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摘要 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. 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.
出处 《Science China Mathematics》 SCIE 2008年第6期1101-1110,共10页 中国科学:数学(英文版)
基金 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
关键词 2-parameter QUANTUM GROUP 2-cocycle DEFORMATION 2-parameter quantum group 2-cocycle deformation
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