论文标题
在Segal-苏加拉矢量和Casimir元素的古典谎言代数
On Segal--Sugawara vectors and Casimir elements for classical Lie algebras
论文作者
论文摘要
我们考虑与简单谎言代数相关的临界水平上的仿射顶点代数的中心。我们在经典类型中为中心的发电机提供新的公式。我们还提供了一个新的公式，用于simbleticic Lie代数的Capelli-Type决定因素，并计算由每个经典谎言代数的生成器矩阵的特征多项式引起的Casimir元素的Harish-Chandra图像。
We consider the centers of the affine vertex algebras at the critical level associated with simple Lie algebras. We derive new formulas for generators of the centers in the classical types. We also give a new formula for the Capelli-type determinant for the symplectic Lie algebras and calculate the Harish-Chandra images of the Casimir elements arising from the characteristic polynomial of the matrix of generators of each classical Lie algebra.
