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 and D⋄=D in the Riordan group. So, we describe the self-complementary and self-dual Riordan matrices.
Some inverse limit approaches to the Riordan group / A. Luzon; D. Merlini; M. A. Moron; L. F. Prieto-Martinez; R. Sprugnoli. - In: LINEAR ALGEBRA AND ITS APPLICATIONS. - ISSN 0024-3795. - STAMPA. - 491:(2016), pp. 239-262. [doi:10.1016/j.laa.2015.07.028]
Some inverse limit approaches to the Riordan group
MERLINI, DONATELLA;SPRUGNOLI, RENZO
2016
Abstract
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 and D⋄=D in the Riordan group. So, we describe the self-complementary and self-dual Riordan matrices.File | Dimensione | Formato | |
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