Harish-Chandra Modules Over the Virasoro Algebra
Harish-Chandra Modules Over the Virasoro Algebra
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DOI：
10.1007/978-1-4612-1104-4_8
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发表时间：
1985
期刊：
影响因子：
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通讯作者：
I. Kaplansky;L. Santharoubane
中科院分区：
文献类型：
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作者：
I. Kaplansky;L. Santharoubane
具有有限傅立叶级数的圆上向量场的李代数W的泛中心扩张V被物理学家称为Virasoro代数。然而，W在特征p中被称为Witt代数，在特征0中被称为无限维Witt代数，Gelfand和Fuks[3]确定了W的具有平凡系数的第二上同调群，从而描述了V。代数V和相关的超代数在基本粒子的研究中起着重要的作用[6]。
The universal central extension V of the Lie algebra W of vector fields on the circle with finite Fourier series is called by physicists the Virasoro algebra. However, W was known in characteristic p as the Witt algebra, in characteristic 0 as the infinite-dimensional Witt algebra, and Gelfand and Fuks [3] determined the second cohomology group of W with trivial coefficients, thereby describing V. The algebra V and an associated superalgebra play a fundamental role in the study of elementary particles [6].