On pseudo-involutions, involutions and quasi-involutions in the group of almost Riordan arrays

被引：0

作者：

Paul Barry

Nikolaos Pantelidis

机构：

[1] Waterford Institute of Technology,Department of Computing and Mathematics

来源：

Journal of Algebraic Combinatorics | 2021年 / 54卷

关键词：

Riordan arrays; Almost Riordan arrays; Involution; Pseudo-involution; Quasi-involution; Quasi-transitional matrix; Quasi-compression;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The group of almost Riordan arrays contains the group of Riordan arrays as a subgroup. In this note, we exhibit examples of pseudo-involutions, conditions under which we define an involution, and methods of constructing quasi-involutions in the group of almost Riordan arrays.

引用

页码：399 / 423

页数：24

共 18 条

[1] Barry P(2012)Riordan arrays and the LDU decomposition of symmetric Toeplitz plus Hankel matrices Linear Algebra Appl. 437 1380-1393
[2] Hennessy A(2020)Algebraic properties of Riordan subgroups J. Algebraic Combin. 428 941-952
[3] Barry P(2008)Riordan group involutions Linear Algebra Appl. 425 2019-2032
[4] Hennessy A(2011)Structural properties of Riordan matrices and extending the matrices Linear Algebra Appl. 439 4032-4046
[5] Pantelidis N(2013)The elements of finite order in the Riordan group over the complex field Linear Algebra Appl. 438 2018-2035
[6] Cheon G-S(2013)Some algebraic structure of the Riordan group Linear Algebra Appl. 34 229-239
[7] Kim H(1991)The Riordan Group Discrete Appl. Math. undefined undefined-undefined
[8] Shapiro LW(undefined)undefined undefined undefined undefined-undefined
[9] Cheon G-S(undefined)undefined undefined undefined undefined-undefined
[10] Jin S-T(undefined)undefined undefined undefined undefined-undefined

← 1 2 →