4 citations · 4 across the 4 of their papers we have counts for
4 papers
A new description of the bicrystal and the extended crystal
Taehyeok Heo
We define new crystal maps on using its polyhedral realization, and show that the crystal equipped with the new crystal maps is isomorphic to Kashiwara's $B…
Extremal weight crystals over affine Lie algebras of infinite rank
Taehyeok Heo
We explain extremal weight crystals over affine Lie algebras of infinite rank using combinatorial models: a spinor model due to Kwon, and an infinite rank analogue of Kashiwara-Nak…
Combinatorial Howe duality of symplectic type
Taehyeok Heo, Jae-Hoon Kwon
We give a new combinatorial interpretation of Howe dual pairs of the form $(\g,{\rm Sp}_{2\ell})$, where $\g$ is a Lie (super)algebra of classical type. This is done by establishin…
A matrix equation
Taehyeok Heo, Jihoon Choi, Suh-Ryung Kim
In this paper, we study a matrix equation . We factorize based upon the factorization of and then give a necessary and sufficient condition for one o…