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	A Commuting Pair in Quantum Qroupoids
	Shen, Bing-liang
	2013
关键词	Weak Hopf algebra (quantum groupoid) Weak Drinfeld double Character algebra Commuting pair
卷号	392
页码	615-624
英文摘要	Let H be a weak Hopf algebra (quantum groupoid) in the sense of [1]. Then in this note we first introduce weak Drinfeld double D(H) and character algebraC(H) of H. Next we define a weak D(H)-module algebra and a C(H)-module on C-H(H-S), the centralizer of H-S. Finally we prove that if H is a semisimple weak Hopf algebra over an algebraically closed field k of characteristic 0, then the action of D(H) on C-H(H-S) and the action of C(H) on C-H(H-S) form a commuting pair, which generalizes the main result in [11].
会议录出版者	SPRINGER-VERLAG BERLIN
会议录出版地	HEIDELBERGER PLATZ 3, D-14197 BERLIN, GERMANY
语种	英语
WOS研究方向	Computer Science
WOS记录号	WOS:000349167900063
内容类型	会议论文
源URL	[http://10.2.47.112/handle/2XS4QKH4/3409]
专题	上海财经大学
作者单位	Shanghai Univ Finance & Econ, Dept Publ Educ, Zhejiang Coll, Jinhua 321013, Peoples R China
推荐引用方式 GB/T 7714	Shen, Bing-liang. A Commuting Pair in Quantum Qroupoids[C]. 见:.

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