Palindromes and Pseudo-Involution Multiplication

Tian-Xiao He, Louis Shapiro

Research output: Journal ArticleArticlepeer-review


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 languageAmerican English
JournalLinear Algebra and Its Applications
StatePublished - May 15 2020


  • Riordan array
  • Riordan group
  • Riordan pseudo-involution
  • Palindromes
  • Twisted subgroup


  • Applied Mathematics
  • Mathematics

Cite this