4 papers
Special Kirillov-Reshetikhin crystals
Il-Seung Jang, Travis Scrimshaw
We give a uniform realization of Kirillov-Reshetikhin crystals , in terms of PBW crystals, for all affine types, , and nodes in the orbit of the node in…
Unipotent quantum coordinate ring and minuscule prefundamental representations: twisted case
Il-Seung Jang
We study the prefundamental modules over the Borel subalgebras of the twisted quantum loop algebras, which are introduced by Wang. A character formula for $L_{s,a}^…
Crystal base of the negative half of quantum orthosymplectic superalgebra
Il-Seung Jang, Jae-Hoon Kwon, Akito Uruno
We construct a crystal base of the negative half of a quantum orthosymplectic superalgebra. It can be viewed as a limit of the crystal bases of -deformed irreducible oscillator…
Unipotent quantum coordinate ring and cominuscule prefundamental representations
Il-Seung Jang, Jae-Hoon Kwon, Euiyong Park
We continue the study of realization of the prefundamental modules , introduced by Hernandez and Jimbo, in terms of unipotent quantum coordinate rings as in [J-Kwon-…