3 papers
math.RA2018
Gröbner-Shirshov bases for Temperley-Lieb algebras of the complex reflection group of type
Jeong-Yup Lee, Dong-il Lee, Sungsoon Kim
We construct a Gröbner-Shirshov basis of the Temperley-Lieb algebra of the complex reflection group , inducing the standard monomials expressed by the…
math.RA2018
Gröbner-Shirshov bases for Temperley-Lieb algebras of types and
Sungsoon Kim, Dong-il Lee
For Temperley-Lieb algebras of types and , we construct their Gröbner-Shirshov bases and the corresponding standard monomials.
math.GR2018
Fully commutative elements of the complex reflection groups
Gabriel Feinberg, Sungsoon Kim, Kyu-Hwan Lee +1
We extend the usual notion of fully commutative elements from the Coxeter groups to the complex reflection groups. Then we decompose the sets of fully commutative elements into nat…