论文标题
C型的Manin矩阵：多参数变形
Manin matrices of type C: multi-parametric deformation
论文作者
论文摘要
我们构建了与符号谎言代数相关的Brauer代数表示的多参数变形。通过使用此表示和相应的二次代数，将C型Manin基质的概念推广到多参数变形的情况。我们为这些二次代数的配对算子和所考虑的Manin矩阵的未成年人配对。计算了二次代数的配对算子的等级和尺寸。
We constructed a multi-parametric deformation of the Brauer algebra representation related with the symplectic Lie algebras. The notion of Manin matrix of type C was generalised to the case of the multi-parametric deformation by using this representation and corresponding quadratic algebras. We derived pairing operators for these quadratic algebras and minors for the considered Manin matrices. The rank of pairing operators and dimensions of components of quadratic algebras were calculated.
