Representation theory of C -algebras for a higher-order class of spheres and tori
Representation theory of C -algebras for a higher-order class of spheres and tori
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高阶球面和环面的 C 代数表示论
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发表时间：
2007
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通讯作者：
J. Arnlind
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作者：
J. Arnlind
我们构造了一类曲面的C -代数，这类曲面是某些任意次数多项式的逆像。通过使用与矩阵相关联的有向图，表示理论可以按照“循环”和“串”表示来理解，这与平面中迭代映射的动力学密切相关。作为一类特殊的代数，我们介绍了“Henon代数”，其中的动态映射是一个广义Henon映射，并给出一个例子，所有维度的不可约表示存在。
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.