The group of multi-dimensional Riordan arrays

@inproceedings{Cheon2017TheGO,
  title={The group of multi-dimensional Riordan arrays},
  author={Gi-Sang Cheon and Sung-Tae Jin},
  year={2017}
}
Abstract We first consider two groups, F 0 = { g ∈ C [ [ z ] ] | g ( 0 ) ≠ 0 } under multiplication and F 1 = z F 0 under composition, where C [ [ z ] ] is the ring of formal power series over the complex field. It is known that the Riordan group R is isomorphic to the semidirect product F 0 ⋊ F 1 . It may be viewed as a group extension of F 1 by F 0 . In this paper, the group of three-dimensional Riordan arrays is obtained from an extension of the group R by F 0 . This concept extends to the… CONTINUE READING

Citations

Publications citing this paper.

Diameter of io-decomposable Riordan graphs of the Bell type.

VIEW 4 EXCERPTS
CITES BACKGROUND
HIGHLY INFLUENCED