10 citations · 23 across the 9 of their papers we have counts for
7 papers · 1 filter
Regular Schur labeled skew shape posets and their 0-Hecke modules
Young-Hun Kim, So-Yeon Lee, Young-Tak Oh
Assuming Stanley's -partition conjecture holds, the regular Schur labeled skew shape posets with underlying set are precisely the posets such that the $P…
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…
Weak Bruhat interval modules for genomic Schur functions
Young-Hun Kim, Semin Yoo
Let be a partition of a positive integer . The genomic Schur function was introduced by Pechenik--Yong in the context of the -theory of Grassmannians. Recently, Pec…
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…
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…
The projective cover of tableau-cyclic indecomposable -modules
Seung-Il Choi, Young-Hun Kim, Sun-Young Nam +1
Let be a composition of and a permutation in . This paper concerns the projective covers of -modules , and $\mathbf…
Cyclic sieving phenomenon on dominant maximal weights over affine Kac-Moody algebras
Young-Hun Kim, Se-jin Oh, Young-Tak Oh
We construct a (bi)cyclic sieving phenomenon on the union of dominant maximal weights for level highest weight modules over an affine Kac-Moody algebra with exactly one high…