7 papers
-Grounded partitions at levels and , Part I: bijections
Benedek Dombos, Jihyeug Jang
Grounded partitions, introduced by Dousse and Konan, are coloured partitions satisfying difference conditions encoded by a matrix. For suitable choices of this matrix, their genera…
The extra slow Tamari lattice
Sylvie Corteel, Jihyeug Jang, Baptiste Rognerud
We introduce the extra slow Tamari lattices, a new family of lattices defined on faithfully balanced tableaux. These tableaux arise naturally from the representation theory of type…
Andrews--Gordon type identities with parity restrictions through particle motion
Jehanne Dousse, Jihyeug Jang
In this paper, we use the particle motion bijection introduced by Warnaar and developed by the two authors, Jouhet and Konan, to study q-series and partition identities of the Andr…
Hook-valued tableau uncrowding and tableau switching
Jihyeug Jang, Jang Soo Kim, Jianping Pan +2
Refined canonical stable Grothendieck polynomials were introduced by Hwang, Jang, Kim, Song, and Song. There exist two combinatorial models for these polynomials: one using hook-va…
Combinatorics of orthogonal polynomials on the unit circle
Jihyeug Jang, Minho Song
Orthogonal polynomials on the unit circle (OPUC for short) are a family of polynomials whose orthogonality is given by integration over the unit circle in the complex plane. There…
Andrews--Gordon and Stanton type identities: bijective and Bailey lemma approaches
Jehanne Dousse, Jihyeug Jang, Frédéric Jouhet
In 2018, Stanton proved two types of generalisations of the celebrated Andrews--Gordon and Bressoud identities (in their -series version): one with a similar shape to the origin…