Compact Hopf *-Algebras, Quantum Enveloping Algebras and Dual Woronowicz Algebras for Quantum Lorentz Groups
Compact Hopf *-Algebras, Quantum Enveloping Algebras and Dual Woronowicz Algebras for Quantum Lorentz Groups
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DOI：
10.1142/s0129167x97000469
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发表时间：
1997-11
影响因子：
0.6
通讯作者：
H. Kurose;Y. Nakagami
中科院分区：
文献类型：
--
作者：
H. Kurose;Y. Nakagami
紧Hopf *-代数是Koornwinder意义下的紧量子群。存在一个从紧Hopf *-代数范畴到紧Woronowicz代数范畴的内射函子。给出了量子包络代数Uq（sl（n，C））的定义.对于量子群SUq（n）和SLq（n，C），q的量子包络代数的正则表示的交换子与q-1的对偶Woronowicz代数的交换子重合。
A compact Hopf *-algebra is a compact quantum group in the sense of Koornwinder. There exists an injective functor from the category of compact Hopf *-algebras to the category of compact Woronowicz algebras. A definition of the quantum enveloping algebra Uq(sl(n,C)) is given. For quantum groups SUq(n) and SLq(n,C), the commutant of a canonical representation of the quantum enveloping algebra for q coincides with the commutant of the dual Woronowicz algebra for q-1.