Centralizers of the Riordan Group
Abstract
In this paper, we discuss centralizers in the Riordan group. We will see that Fa\`a di Bruno's formula is an application of the Fundamental Theorem of Riordan arrays. Then the composition group of formal power series in F1 is studied to construct the centralizers of Bell type and Lagrange type Riordan arrays. Our tools are the A-sequences of Riordan arrays and Fa\`a di Bruno's formula. Some combinatorial explanation and discussion about related algebraic topics are also given.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.