4 citations · 4 across the 3 of their papers we have counts for
4 papers
Prehomogeneous vector spaces obtained from triangle arrangements
Takeyoshi Kogiso, Hideto Nakashima
In this paper, we construct a new series of prehomogeneous vector spaces from figures made up of triangles, called triangle arrangements. Our main theorem states that, under suitab…
A characterization of Conway-Coxeter friezes of zigzag type by rational links
Takeyoshi Kogiso, Michihisa Wakui
The present paper show that Conway-Coxeter friezes of zigzag type are characterized by (unoriented) rational links. As an application of this characterization Jones polynomial can…
-Deformations and -deformations of Markov triples
Takeyoshi Kogiso
In this paper, we generalize the Markov triples in two different directions. One is generalization in direction of using the -deformation of rational number introduced by \cite{…
A Bridge between Conway-Coxeter Friezes and Rational Tangles through the Kauffman Bracket Polynomials
Takeyoshi Kogiso, Michihisa Wakui
In the present paper, we build a bridge between Conway-Coxeter friezes and rational tangles through the Kauffman bracket polynomials. One can compute a Kauffman bracket polynomials…