10 citations · 29 across the 15 of their papers we have counts for
16 papers
Poset modules of the -Hecke algebras and related quasisymmetric power sum expansions
Seung-Il Choi, Young-Hun Kim, Young-Tak Oh
Duchamp--Hivert--Thibon introduced the construction of a right -module, denoted as , for any partial order on the set . This module is defined by specifying a…
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…
Homological properties of 0-Hecke modules for dual immaculate quasisymmetric functions
Seung-Il Choi, Young-Hun Kim, Sun-Young Nam +1
Let be a nonnegative integer. For each composition of , Berg introduced a cyclic indecomposable -module with a dual immaculate…
Skew Schur polynomials and cyclic sieving phenomenon
So-Yeon Lee, Young-Tak Oh
Let and be positive integers and a skew partition. We compute the principal specialization of the skew Schur polynomials modulo …
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…