7 papers
Lecture hall graphs and the Askey scheme
Sylvie Corteel, Bhargavi Jonnadula, Jonathan P. Keating +1
We establish, for every family of orthogonal polynomials in the -Askey scheme and the Askey scheme, a combinatorial model for mixed moments and coefficients in terms of paths…
Bounded Littlewood identities with fixed number of odd rows or odd columns
JiSun Huh, Jang Soo Kim, Christian Krattenthaler +1
A Littlewood identity is an identity equating a sum of Schur functions with an infinite product. A bounded Littlewood identity is one where the sum is taken over the partitions wit…
Enumeration of multiplex juggling card sequences using generalized q-derivatives
Yumin Cho, Jaehyun Kim, Jang Soo Kim +1
In 2019, Butler, Choi, Kim, and Seo introduced a new type of juggling card that represents multiplex juggling patterns in a natural bijective way. They conjectured a formula for th…
Bott manifolds of Bott--Samelson type and assemblies of ordered partitions
Junho Jeong, Jang Soo Kim, Eunjeong Lee
A Bott manifold is a smooth projective toric variety having an iterated -bundle structure. A certain family of Bott manifolds is used to understand the structure of…
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…
Hall--Littlewood expansions of chromatic quasisymmetric polynomials using linked rook placements
Jang Soo Kim, Seung Jin Lee, Meesue Yoo
In this work, we obtain a Hall--Littlewood expansion of the chromatic quasisymmetric function arising from a natural unit interval order and describe the coefficients in terms of l…