Dong-il Lee

collaborators

3 papers

math.DS2020

Pure Discrete Spectrum and Regular Model Sets in Unimodular Substitution Tilings on R^d

Dong-il Lee, Shigeki Akiyama, Jeong-Yup Lee

We consider primitive substitution tilings on R^d whose expansion maps are unimodular. We assume that all the eigenvalues of the expansion maps are algebraic conjugates with the sa…

math.RA2018

Gröbner-Shirshov bases for Temperley-Lieb algebras of the complex reflection group of type $G (d, 1, n)$

Jeong-Yup Lee, Dong-il Lee, Sungsoon Kim

We construct a Gröbner-Shirshov basis of the Temperley-Lieb algebra $T (d, n)$ of the complex reflection group $G (d, 1, n)$ , inducing the standard monomials expressed by the…

math.RA2018

Gröbner-Shirshov bases for Temperley-Lieb algebras of types $B$ and $D$

Sungsoon Kim, Dong-il Lee

For Temperley-Lieb algebras of types $B$ and $D$ , we construct their Gröbner-Shirshov bases and the corresponding standard monomials.

Pure Discrete Spectrum and Regular Model Sets in Unimodular Substitution Tilings on R^d

Gröbner-Shirshov bases for Temperley-Lieb algebras of the complex reflection group of type G(d,1,n)

Gröbner-Shirshov bases for Temperley-Lieb algebras of types B and D

Gröbner-Shirshov bases for Temperley-Lieb algebras of the complex reflection group of type $G (d, 1, n)$

Gröbner-Shirshov bases for Temperley-Lieb algebras of types $B$ and $D$