Riordan group involutions
By Gi-Sang Cheon, Hana Kim, L. Shapiro. 2008
71 citations recorded by the source corpus.
We study involutions in the Riordan group, especially those with combinatorial meaning. We give a new determinantal criterion for a matrix to be a Riordan involution and examine several classes of examples. A complete characterization of involutions in the Appell subgroup is developed. In another direction we find several examples that generalize the RNA matrix but are of independent interest.
Subfields: Computational Theory and Mathematics, Discrete Mathematics and Combinatorics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/ba2d95a3d322fa9538b2b2d07dd1e2dda121eee6
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Theory and Mathematics
In Discrete Mathematics and Combinatorics
In Mathematical Physics
Citations in the corpus
- Some algebraic structure of the Riordan group (2013, background): “Although much research has been done on the combinatorics of the Riordan group [3,18,19,21,28, 31,32], few papers focus exclusively on the algebraic structure of the group.”
- Recurrence relations for polynomial sequences via Riordan matrices (2009, background): “mialsto describeall involutionsin the Riordan group. Although the translation isalmostautomatic we think thatitis stillinteresting to pointitoutbecauseoftherelationsto someproblemsrecently solved [6],[7]about involutionsin theRiordan group. In thispaper Kalwaysrepresentsa eld ofcharacteristiczero an”
- Parametric Catalan Numbers and Catalan Triangles (2013, unknown): “[3, 4], Gould et al.”