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math.CO2021★ 1 cited
A combinatorial model for the transition matrix between the Specht and web bases
Byung-Hak Hwang, Jihyeug Jang, Jaeseong Oh
We introduce a new class of permutations, called web permutations. Using these permutations, we provide a combinatorial interpretation for entries of the transition matrix between…
math.CO2021★ 2 cited
Refined canonical stable Grothendieck polynomials and their duals, Part 1
Byung-Hak Hwang, Jihyeug Jang, Jang Soo Kim +2
In this paper we introduce refined canonical stable Grothendieck polynomials and their duals with two infinite sequences of parameters. These polynomials unify several generalizati…
math.RT2021★ 1 cited
Ribbon tiling and character formula for periplectic Lie superalgebras
Byung-Hak Hwang, Jae-Hoon Kwon
We give a combinatorial formula for the character of a finite-dimensional irreducible representation of the periplectic Lie superalgebra . The character of irreduc…