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Journal of Algebra and Its Applications· 2026Q2

Involutions in the double Riordan group

Liming Zhang, Xiqiang Zhao

Short summary

A universal construction formula for all double Riordan involutions is derived, extending to the mth-order Riordan group.

AI-generated from the title and abstract; the full text is not read.

Key points

  • Derived a universal construction formula for double Riordan involutions.
  • The construction is based on finite double Riordan matrices.
  • The formula is extended to the mth-order Riordan group.

AI-generated from the title and abstract; the full text is not read.

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.

The authors' abstract, as published at the source. Journal of Algebra and Its Applications, 2026 · DOI ↗

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Field: Discrete Mathematics and Combinatorics

Discrete Mathematics and CombinatoricsMathematics