论文标题
较高维度的Riordan组
Riordan Groups in higher Dimensions
论文作者
论文摘要
与给定交换环相关的经典Riordan组是一个变量中与正式功率序列相关的无限矩阵（称为Riordan阵列）组。 Riordan阵列的基本定理将矩阵乘法与此类系列的两个小组动作有关，即正式（卷积）乘法和形式组成。我们在几个变量中定义了涉及正式力量序列的类似的利奥丹群体，并在这种情况下建立了基本定理的类似物。我们讨论了Laurent系列的相关小组，并提出了一些问题。
The classical Riordan groups associated to a given commutative ring are groups of infinite matrices (called Riordan arrays) associated to pairs of formal power series in one variable. The Fundamental Theorem of Riordan Arrays relates matrix multiplication to two group actions on such series, namely formal (convolution) multiplication and formal composition. We define the analogous Riordan groups involving formal power series in several variables, and establish the analogue of the Fundamental Theorem in that context. We discuss related groups of Laurent series and pose some questions.
