Quasifinite highest weight modules over the Lie algebra of differential operators on the circle
Quasifinite highest weight modules over the Lie algebra of differential operators on the circle
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DOI：
10.1007/bf02096878
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发表时间：
1993-08
影响因子：
2.4
通讯作者：
V. Kac;A. Radul
中科院分区：
文献类型：
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作者：
V. Kac;A. Radul
本文对李代数W1 +∞的有限退化正能量表示进行了分类，并利用代数Rm = Tm [t]/（tm+1）上具有有限个非零对角线的无限矩阵李代数的表示理论构造了它们.单位的也被分类。对sin-代数也得到了类似的结果。
We classify positive energy representations with finite degeneracies of the Lie algebraW1+∞and construct them in terms of representation theory of the Lie algebraof infinites matrices with finite number of non-zero diagonals over the algebraRm=ℂ[t]/(tm+1). The unitary ones are classified as well. Similar results are obtained for the sin-algebras.