Article
Palindromes and Pseudo-Involution Multiplication
Linear Algebra and Its Applications
(2020)
Abstract
A Riordan array (g,f) is called a pseudo-involution if (g,f)M (or equivalently, M (g,f)), where M = (1, - z) , is an involution. This paper presents a palindromic property of pseudo-involutions, which seems both novel and useful. If A and B are both pseudo-involutions, then so is the triple product ABA. With this it follows that if A,B,C,… are pseudo-involutions so is any palindromic word using these symbols.
Keywords
- Riordan array,
- Riordan group,
- Riordan pseudo-involution,
- Palindromes,
- Twisted subgroup
Disciplines
Publication Date
Spring May 15, 2020
DOI
https://doi.org/10.1016/j.laa.2020.01.031
Publisher Statement
Linear Algebra and Its Applications is published by ScienceDirect. For more information on this journal visit ScienceDirect online.
Citation Information
Tian-Xiao He and Louis Shapiro. "Palindromes and Pseudo-Involution Multiplication" Linear Algebra and Its Applications Vol. 593 (2020) p. 1 - 17 ISSN: 0024-3795 Available at: http://works.bepress.com/tian_xiao_he/97/