72 citations · 873 across the 61 of their papers we have counts for
5 papers · 1 filter
Identities from representation theory
Se-jin Oh, Travis Scrimshaw
We give a new Jacobi--Trudi-type formula for characters of finite-dimensional irreducible representations in type using characters of the fundamental representations and non-…
The number of ideals of containing with given index
Mitsugu Hirasaka, Semin Oh
It is well-known that a connected regular graph is strongly-regular if and only if its adjacency matrix has exactly three eigenvalues. Let denote an integral square matrix and…
Association schemes all of whose symmetric fusion schemes are integral
Mitsugu Hirasaka, Kijung Kim, Semin Oh
In this paper we aim to characterize association schemes all of whose symmetric fusion schemes have only integral eigenvalues, and classify those obtained from a regular action of…
Catalan triangle numbers and binomial coefficients
Kyu-Hwan Lee, Se-jin Oh
The binomial coefficients and Catalan triangle numbers appear as weight multiplicities of the finite-dimensional simple Lie algebras and affine Kac--Moody algebras. We prove that a…
The Andrews-Olsson identity and Bessenrodt insertion algorithm on Young walls
Se-jin Oh
We extend the Andrews-Olsson identity to two-colored partitions. Regarding the sets of proper Young walls of quantum affine algebras $\g_n=A^{(2)}_{2n}$, , $B^{(1)}…