IRREDUCIBLE REPRESENTATIONS OF INFINITE-DIMENSIONAL LIE ALGEBRAS OF CARTAN TYPE
IRREDUCIBLE REPRESENTATIONS OF INFINITE-DIMENSIONAL LIE ALGEBRAS OF CARTAN TYPE
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DOI：
10.1070/im1974v008n04abeh002129
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发表时间：
1974-08
期刊：
影响因子：
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通讯作者：
A. Rudakov
中科院分区：
文献类型：
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作者：
A. Rudakov
本文研究了无限维滤子李代数的不可约表示。引入表示高度的概念，证明了李代数Wn，Sn，Hn和Kn中高度大于其中之一的表示是诱导的.还描述了代数Wn的高度之一的表示。
In this paper the irreducible representations of infinite-dimensional filtered Lie algebras are studied. The concept of the height of a representation is introduced, and it is proved that the representations of height greater than one of the Lie algebras Wn, Sn, Hn and Kn are induced. The representations of height one of the algebras Wn are also described.