Palindromes and Pseudo-Involution Multiplication

Tian-Xiao He; Louis Shapiro

doi:10.1016/j.laa.2020.01.031

Palindromes and Pseudo-Involution Multiplication

Tian-Xiao He, Louis Shapiro

Illinois Wesleyan University

Research output: Journal Article › Article › peer-review

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.

Original language	American English
Journal	Linear Algebra and Its Applications
Volume	593
DOIs	https://doi.org/10.1016/j.laa.2020.01.031
State	Published - May 15 2020

Keywords

Palindromes
Riordan array
Riordan group
Riordan pseudo-involution
Twisted subgroup

Disciplines

Applied Mathematics
Mathematics

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title = "Palindromes and Pseudo-Involution Multiplication",

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 = "Palindromes, Riordan array, Riordan group, Riordan pseudo-involution, Twisted subgroup",

author = "Tian-Xiao He and Louis Shapiro",

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language = "American English",

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T1 - Palindromes and Pseudo-Involution Multiplication

AU - He, Tian-Xiao

AU - Shapiro, Louis

N1 - 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 palin...

PY - 2020/5/15

Y1 - 2020/5/15

N2 - 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.

AB - 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.

KW - Palindromes

KW - Riordan array

KW - Riordan group

KW - Riordan pseudo-involution

KW - Twisted subgroup

UR - https://www.sciencedirect.com/science/article/abs/pii/S0024379520300410?via%3Dihub

U2 - 10.1016/j.laa.2020.01.031

DO - 10.1016/j.laa.2020.01.031

M3 - Article

VL - 593

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -

Palindromes and Pseudo-Involution Multiplication

Abstract

Keywords

Disciplines

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