8 citations · 31 across the 12 of their papers we have counts for
6 papers · 1 filter
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}^…
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-…
Braid group action on quantum virtual Grothendieck ring through constructing presentations
Il-Seung Jang, Kyu-Hwan Lee, Se-jin Oh
As a continuation of \cite{JLO1}, we investigate the quantum virtual Grothendieck ring $\frakK_q(\g)$ associated with a finite dimensional simple Lie algebra $\g$, especially of no…
Quantization of virtual Grothendieck rings and their structure including quantum cluster algebras
Il-Seung Jang, Kyu-Hwan Lee, Se-jin Oh
The quantum Grothendieck ring of a certain category of finite-dimensional modules over a quantum loop algebra associated with a complex finite-dimensional simple Lie algebra $\math…
Unipotent quantum coordinate ring and prefundamental representations for types and
Il-Seung Jang, Jae-Hoon Kwon, Euiyong Park
We give a new realization of the prefundamental representations introduced by Hernandez and Jimbo, when the quantum loop algebra is of types $A_n^…
Flagged Littlewood-Richardson tableaux and branching rule for classical groups
Il-Seung Jang, Jae-Hoon Kwon
We give a new formula for the branching rule from to generalizing the Littlewood's restriction formula. The formula is given in terms of Littlewood-Richard…