Sungsoon Kim

most citedGröbner-Shirshov bases for Temperley-Lieb algebras of types

B

and

D

1 citations · 1 across the 3 of their papers we have counts for

collaborators

4 papers

math.RT2023

Modified Ariki-Koike algebra and Yokounuma-Hecke like relations

Myungho Kim, SungSoon Kim

We find new presentations of the modified Ariki-Koike algebra (known also as Shoji's algebra) $H_{n, r}$ over an integral domain $R$ associated with a set of parameters $q,…

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★ 1 cited

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.

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…

Modified Ariki-Koike algebra and Yokounuma-Hecke like relations

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

Fully commutative elements of the complex reflection groups

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 $D$