9 citations · 13 across the 11 of their papers we have counts for
12 papers · 1 filter
Towards combinatorial characterization of the smoothness of Hessenberg Schubert varieties
Soojin Cho, JiSun Huh, Seonjeong Park
A \emph{Hessenberg Schubert variety} is an irreducible component of the intersection of a Schubert variety and a Hessenberg variety, defined as the closure of a Schubert cell inter…
Bounded Littlewood identities for cylindric Schur functions
JiSun Huh, Jang Soo Kim, Christian Krattenthaler +1
The identities which are in the literature often called ``bounded Littlewood identities" are determinantal formulas for the sum of Schur functions indexed by partitions with bounde…
Combinatorics on bounded free Motzkin paths and its applications
Hyunsoo Cho, JiSun Huh, Hayan Nam +1
In this paper, we construct a bijection from a set of bounded free Motzkin paths to a set of bounded Motzkin prefixes that induces a bijection from a set of bounded free Dyck paths…
Results on bar-core partitions, core shifted Young diagrams, and doubled distinct cores
Hyunsoo Cho, JiSun Huh, Hayan Nam +1
Simultaneous bar-cores, core shifted Young diagrams (or CSYDs), and doubled distinct cores have been studied since Morris and Yaseen introduced the concept of bar-cores. In this pa…
Self-conjugate -core partitions and free rational Motzkin paths
Hyunsoo Cho, JiSun Huh
A partition is called an -core partition if it is simultaneously an -core for all . Simultaneous core partitions have been actively studied…
The -core partitions and the rational Motzkin paths
Hyunsoo Cho, JiSun Huh, Jaebum Sohn
In this paper, we propose an -abacus for -core partitions and establish a bijection between the -core partitions and the rational M…