3 citations · 11 across the 11 of their papers we have counts for
11 papers
Arithmetic on -deformed rational numbers
Takeyoshi Kogiso, Kengo Miyamoto, Xin Ren +2
Recently, Morier-Genoud and Ovsienko introduced a -deformation of rational numbers. More precisely, for an irreducible fraction , they constructed coprime polynomia…
q-deformed integers derived from pairs of coprime integers and its applications
Michihisa Wakui
In connection with cluster algebras, snake graphs and q-integers, Kyungyong Lee and Ralf Schiffler recently found a formula for computing the (normalized) Jones polynomials of rati…
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…
Reconstruction of weak bialgebra maps and its applications
Michihisa Wakui
In this note we give a precise statement and a detailed proof for reconstruction problem of weak bialgebra maps. As an application we characterize indecomposability of weak algebra…
Braided Morita equivalence for finite-dimensional semisimple and cosemisimple Hopf algebras
Michihisa Wakui
Braided Morita invariants of finite-dimensional semisimple and cosemisimple Hopf algebras with braidings are constructed by refining the polynomial invariants introduced by the aut…
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…