Graph Techniques for Matrix Equations and Eigenvalue Dynamics
Graph Techniques for Matrix Equations and Eigenvalue Dynamics
复制标题
矩阵方程和特征值动力学的图形技术
DOI：
--
复制
发表时间：
2008
期刊：
影响因子：
--
通讯作者：
J. Arnlind
中科院分区：
文献类型：
--
作者：
J. Arnlind
我们构造了一类曲面的C-代数，这些曲面是某些任意次多项式的逆像。通过使用与矩阵相关的有向图，可以用与平面上迭代映射的动力学密切相关的“环”和“弦”表示来理解表示理论。作为一类特殊的代数，我们引入了动力映射是广义Henon映射的“Henon代数”，并给出了一个存在所有维的不可约表示的例子。
We construct C-algebras for a class of surfaces that are inverse images of certain polynomials of arbitrary degree. By using the directed graph associated with a matrix, the representation theory can be understood in terms of "loop" and "string" representations, which are closely related to the dynamics of an iterated map in the plane. As a particular class of algebras, we introduce the "Henon algebras," for which the dynamical map is a generalized Henon map, and give an example where irreducible representations of all dimensions exist.