Some inverse limit approaches to the Riordan group

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• 作者：Ana Luzó ; n^a ; ^{anamaria.luzon@upm.es" class="auth_mail" title="E-mail the corresponding author} ; Donatella Merlini^b ; ^{donatella.merlini@unifi.it" class="auth_mail" title="E-mail the corresponding author} ; Manuel A. Moró ; n^c ; ^{mamoron@mat.ucm.es" class="auth_mail" title="E-mail the corresponding author} ; L. Felipe Prieto-Martinez^d ; ^{luisfelipe.prieto@uam.es" class="auth_mail" title="E-mail the corresponding author} ; Renzo Sprugnoli^b ; ^{renzo.sprugnoli@unifi.it" class="auth_mail" title="E-mail the corresponding author}
• 关键词：05B20 ; 18A30
• 刊名：Linear Algebra and its Applications
• 出版年：2016
• 出版时间：15 February 2016
• 年：2016
• 卷：491
• 期：Complete
• 页码：239-262
• 全文大小：413 K

文摘

Using the inverse limit tool, we obtain the Riordan group in its infinite and bi-infinite representations from groups of finite Riordan matrices. We define two different reflections for bi-infinite Riordan matrices. Employing these definitions, we give answers to the problems D^⊥=D$D^{\perp }=D$ and D^⋄=D$D^{\diamond }=D$ in the Riordan group. So, we describe the self-complementary and self-dual Riordan matrices.