26 citations · 188 across the 39 of their papers we have counts for
46 papers
Crystal bases of parabolic Verma modules over the quantum orthosymplectic superalgebras
Il-Seung Jang, Jae-Hoon Kwon, Akito Uruno
We show that there exists a unique crystal base of a parabolic Verma module over a quantum orthosymplectic superalgebra, which is induced from a -analogue of a polynomial repres…
Oscillator representations of quantum affine orthosymplectic superalgebras
Jae-Hoon Kwon, Sin-Myung Lee, Masato Okado
We introduce a category of -oscillator representations over the quantum affine superalgebras of type and construct a new family of its irreducible representations. Motivated…
Crystal base of the negative half of the quantum superalgebra
Il-Seung Jang, Jae-Hoon Kwon, Akito Uruno
We construct a crystal base of , the negative half of the quantum superalgebra . We give a combinatorial description of the asso…
Affinization of -oscillator representations of
Jae-Hoon Kwon, Sin-Myung Lee
We introduce a category of -oscillator representations of the quantum affine algebra . We show that $\widehat{\…
Affine RSK correspondence and crystals of level zero extremal weight modules
Jae-Hoon Kwon, Hyunse Lee
We give an affine analogue of the Robison-Schensted-Knuth (RSK) correspondence, which generalizes the affine Robinson-Schensted correspondence by Chmutov-Pylyavskyy-Yudovina. The a…
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^…