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<p>The main goal of this paper is to introduce and to investigate properties of generalized Riordan arrays and generalized Riordan groups that involve formal semi-Laurent series. In particular, we focus on the problem of isomorphism of generalized Riordan groups and the classical Riordan groups giving the negative answer to this problem. We also examine the infinite dimensional Lie group structure of the group of generalized Riordan arrays.</p>

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On Riordan groups involving formal semi-Laurent series and their Lie group structure

  • 期刊论文

  • 发表日期：

    2026年4月25日

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  • Dariusz Bugajewski,
  • Dawid Bugajewski,
  • Xiao-Xiong Gan,
  • Piotr Maćkowiak

摘要

The main goal of this paper is to introduce and to investigate properties of generalized Riordan arrays and generalized Riordan groups that involve formal semi-Laurent series. In particular, we focus on the problem of isomorphism of generalized Riordan groups and the classical Riordan groups giving the negative answer to this problem. We also examine the infinite dimensional Lie group structure of the group of generalized Riordan arrays.