Involutions in the double Riordan group

In this paper, we investigate the infinite-dimensional representations of the double Riordan group arising from finite double Riordan matrices. We derive a universal construction formula for all double Riordan involutions and then extend this result to the mth-order Riordan group.

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Publication Details

Journal
Journal of Algebra and Its Applications
Published
2026-10-06
DOI
https://doi.org/10.1142/s0219498828500739
Primary Topic
Advanced Combinatorial Mathematics
Type
article
Field-Weighted Citation Impact
0.00
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article

Involutions in the double Riordan group

Xiqiang Zhao, Liming Zhang
Journal of Algebra and Its Applications
Advanced Combinatorial Mathematics
article

Involutions in the double Riordan group

Xiqiang Zhao, Liming Zhang
article en

Abstract

In this paper, we investigate the infinite-dimensional representations of the double Riordan group arising from finite double Riordan matrices. We derive a universal construction formula for all double Riordan involutions and then extend this result to the mth-order Riordan group.

Journal of Algebra and Its Applications
Openalex Percentile: Top 4%
Advanced Combinatorial Mathematics
DOISourceOpenAlex
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Involutions in the double Riordan group — Xiqiang Zhao, Liming Zhang · Journal of Algebra and Its Applications (2026) | TGRS Research Map | TGRS