Jae-Hoon Kwon

activity

19992023

most citedKostant homology formulas for oscillator modules of Lie superalgebras

26 citations · 188 across the 39 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.QA2022★ 2 cited

Crystal base of the negative half of the quantum superalgebra $U_{q} (gl (m ∣ n))$

Il-Seung Jang, Jae-Hoon Kwon, Akito Uruno

We construct a crystal base of $U_{q} (gl (m ∣ n))^{-}$ , the negative half of the quantum superalgebra $U_{q} (gl (m ∣ n))$ . We give a combinatorial description of the asso…

math.RT2022★ 3 cited

Affinization of $q$ -oscillator representations of $U_{q} (gl_{n})$

Jae-Hoon Kwon, Sin-Myung Lee

We introduce a category $O_{osc}$ of $q$ -oscillator representations of the quantum affine algebra $U_{q} (gl_{n})$ . We show that $\widehat{\…

math.RT2022

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…

Crystal base of the negative half of the quantum superalgebra Uq​(gl(m∣n))

Affinization of q-oscillator representations of Uq​(gln​)

Affine RSK correspondence and crystals of level zero extremal weight modules

Crystal base of the negative half of the quantum superalgebra $U_{q} (gl (m ∣ n))$

Affinization of $q$ -oscillator representations of $U_{q} (gl_{n})$