Title

Algebraic Structures on Riordan Groups

Graduation Year

2018

Comments

At the request of the author, this paper is not available for download. Bona fide researchers may consult it by visiting the University Archives in Tate Archives & Special Collections; contact archives@iwu.edu for details.

Abstract

We introduce a class of matrices known as Riordan arrays. The Riordan arrays form a group referred as the Riordan group. We discuss the Lie algebraic structure of the Riordan group. In addition, we study the construction and combinatorial interpretations of stabilizers and centralizers of Riordan groups. In particular, we give examples of stabilizers and centralizers in Appel, Lagrange, and Stochastic subgroups.

Disciplines

Mathematics

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