SECOND COHOMOLOGY GROUP OF GENERALIZED WITT TYPE LIE ALGEBRAS AND CERTAIN REPRESENTATIONS
SECOND COHOMOLOGY GROUP OF GENERALIZED WITT TYPE LIE ALGEBRAS AND CERTAIN REPRESENTATIONS
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DOI：
10.1081/agb-120004488
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发表时间：
2002-08
影响因子：
0.7
通讯作者：
Yu-cai Su;K. Zhao
中科院分区：
文献类型：
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作者：
Yu-cai Su;K. Zhao
摘要 我们确定了广义Witt型李代数的第二上同调群，它是Passman和Jordan定义的一些李代数，比Dokovic和Zhao定义的更一般，比Xu定义的更一般。在所有的 2-cocycle 中，有一个我们认为特别有趣的。使用这个 2-cocycle，我们定义了所谓的 Virasoro 类代数。然后我们给出一类他们的表示。
ABSTRACT We determine the second cohomology groups of Lie algebras of generalized Witt type which are some Lie algebras defined by Passman and Jordan, more general than those defined by Dokovic and Zhao, and slightly more general than those defined by Xu. Among all the 2-cocycles, there is a special one we think interesting. Using this 2-cocycle, we define the so-called Virasoro-like algebras. Then we give a class of their representations.