q-deformation of W (2, 2) Lie algebra associated with quantum groups
q-deformation of W (2, 2) Lie algebra associated with quantum groups
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DOI：
10.1007/s10114-012-0544-y
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发表时间：
2010-06
期刊：
影响因子：
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通讯作者：
Lamei Yuan
中科院分区：
文献类型：
--
作者：
Lamei Yuan
利用物理学中著名的玻色子振子和费米子振子实现了W（2，2）李代数，在此基础上定义了该李代数的q-形变.进而完全确定了W（2，2）李代数q-形变的量子群结构。最后，研究了q-变形W（2，2）李代数的1维中心扩张，证明了它与传统W（2，2）李代数在q → 1极限上是一致的.
Theq-deformation ofW(2, 2) Lie algebra is well defined based on a realization of this Lie algebra by using the famous bosonic and fermionic oscillators in physics. Furthermore, the quantum group structures on theq-deformation ofW(2, 2) Lie algebra are completely determined. Finally, the 1-dimensional central extension of theq-deformedW(2, 2) Lie algebra is studied, which turns out to be coincided with the conventionalW(2, 2) Lie algebra in theq→ 1 limit.