4 papers
math.CO2026
The cyclic-induction Schur cone: Boolean sums, Ramanujan-square positivity, and integral structure
Young-Tak Oh
We study the Schur-positive cone in $\Rspace_{n,\mathbb R}\coloneqq \operatorname{span}_{\mathbb R}\{p_d^{n/d}:d\mid n\}$ through its basis ,…
math.RT2025
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…
math.CO2024
Equivalence classes of lower and upper descent weak Bruhat intervals
Seung-Il Choi, Sun-Young Nam, Young-Tak Oh
Let denote the set of nonempty left weak Bruhat intervals in the symmetric group . We investigate the equivalence relation o…
math.CO2024
Quasisymmetric Schur -functions and peak Young quasisymmetric Schur functions
Seung-Il Choi, Sun-Young Nam, Young-Tak Oh
In this paper, we explore the relationship between quasisymmetric Schur -functions and peak Young quasisymmetric Schur functions. We introduce a bijection on …