10 citations · 11 across the 9 of their papers we have counts for
9 papers
A Comparison of cluster algebra structures arising from -boxes and Demazure weaves
JiSun Huh, Woo-Seok Jung, Myungho Kim +1
We compare two cluster algebras related to a positive element in the braid group of finite type. One is the localized bosonic extension ${\widetilde{\mathbb{A}}}…
Thrall's problem for two rows
JiSun Huh, Woo-Seok Jung, Jang Soo Kim +1
In this paper, we study Thrall's problem for the higher Lie modules . Our main result provides a tableau-theoretic description of the Schur expansion of the character of …
Representation Theory of -Schur Algebras and Related Categories
Woo-Seok Jung, Young-Tak Oh
Jensen, Su, and Yang described the projective indecomposable modules of the -Schur algebra using its geometric realization. In this paper, the simple modules…
Discovering product and coproduct Rules for Bases of through Supercharacters
Woo-Seok Jung, Young-Tak Oh
In this paper, we establish product and coproduct rules for three bases of the Hopf algebra of quasisymmetric functions over , with being either $\mathbb{C…
Induction and restriction of two variable Hecke algebras
Woo-Seok Jung, Young-Tak Oh
The purpose of this paper is to study induction and restriction of two-variable Hecke algebras. First, we provide the explicit form of the Mackey decomposition formula. And then, w…
Categorifications of using supercharacter theories and a new basis for
Woo-Seok Jung, Young-Tak Oh
Let us fix a positive integer . For each positive integer , we consider a normal supercharacter theory of , where is the direct-product of $n-1…
Weak Bruhat interval modules of the 0-Hecke algebra
Woo-Seok Jung, Young-Hun Kim, So-Yeon Lee +1
The purpose of this paper is to provide a unified method for dealing with various 0-Hecke modules constructed using tableaux so far. To do this, we assign a -Hecke module to eac…
Dualities and reciprocities on graphs on surfaces
Woo-Seok Jung, Jaeseong Oh
We extend the duality between acyclic orientations and totally cyclic orientations on planar graphs to dualities on graphs on orientable surfaces by introducing boundary acyclic or…
Acyclic orientation polynomials and the sink theorem for chromatic symmetric functions
Byung-Hak Hwang, Woo-Seok Jung, Kang-Ju Lee +2
We define the acyclic orientation polynomial of a graph to be the generating function for the sinks of its acyclic orientations. Stanley proved that the number of acyclic orientati…