Classical affine algebras
Classical affine algebras
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DOI：
10.1016/0001-8708(85)90027-1
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发表时间：
1985-05
影响因子：
1.7
通讯作者：
A. Feingold;I. Frenkel
中科院分区：
文献类型：
--
作者：
A. Feingold;I. Frenkel
经典李代数作为矩阵的定义，即一般线性、正交和辛级数，隐含地假定了它们的自然表示。然而，人们经常使用经典李代数的另一种显着表示，它与矩阵一样简单，但包含更多结构信息。第 2 节中讨论的这种实现基于 Clifford 或 Weyl 代数而不是矩阵代数。
The definitions of the classical Lie algebras as matrices, namely, the general linear, orthogonal, and symplectic series, implicitly assume their natural representations. However, one often uses another remarkable representation of the classical Lie algebras which is just as simple as matrices but contains more structural information. This realization, discussed in Section 2, is based on a Clifford or Weyl algebra rather than the algebra of matrices.