Zobrazeno 1 - 10
of 67
pro vyhledávání: '"Jae-Hoon Kwon"'
Autor:
Taehyeok Heo, Jae-Hoon Kwon
Publikováno v:
Journal of Algebra. 600:1-44
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 establishing a symplectic analogue of the RSK algorithm associated to this pair,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e34d66ad391804d1717654680fd94f5b
https://doi.org/10.1016/j.jalgebra.2022.01.037
https://doi.org/10.1016/j.jalgebra.2022.01.037
Autor:
Jae-Hoon Kwon, Masato Okado
Publikováno v:
Publications of the Research Institute for Mathematical Sciences. 57:993-1039
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b1f6e6beb411b2d2f7f1c4a419ee2039
https://doi.org/10.4171/prims/57-3-9
https://doi.org/10.4171/prims/57-3-9
Autor:
Jae-Hoon Kwon, Masato Okado
Publikováno v:
Communications in Mathematical Physics. 385:1041-1082
We introduce higher level $q$-oscillator representations for the quantum affine (super)algebras of type $C_n^{(1)},C^{(2)}(n+1)$ and $B^{(1)}(0,n)$. These representations are constructed by applying the fusion procedure to the level one $q$-oscillato
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a02e950c82a19c5e3aa49a8c70f027dc
https://doi.org/10.1007/s00220-021-04009-x
https://doi.org/10.1007/s00220-021-04009-x
Autor:
Jeongwoo Yu, Jae-Hoon Kwon
Publikováno v:
Journal of Algebra. 566:309-341
The generalized quantum group U ( ϵ ) of type A is an affine analogue of quantum group associated to a general linear Lie superalgebra gl M | N . We prove that there exists a unique R matrix on the tensor product of fundamental type representations
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::32490030ae340c80818ff62f7b1b28f1
https://doi.org/10.1016/j.jalgebra.2020.09.009
https://doi.org/10.1016/j.jalgebra.2020.09.009
Autor:
Jae-Hoon Kwon, Sin-Myung Lee
We introduce a category $\widehat{\mathcal{O}}_{\rm osc}$ of $q$-oscillator representations of the quantum affine algebra $U_q(\widehat{\mathfrak{gl}}_n)$. We show that $\widehat{\mathcal{O}}_{\rm osc}$ has a family of irreducible representations, wh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5e07f4fe32f9264c547d7a1896a88d3d
http://arxiv.org/abs/2203.12862
http://arxiv.org/abs/2203.12862
We give a new realization of the prefundamental representations $L^\pm_{r,a}$ introduced by Hernandez and Jimbo, when the quantum loop algebra $U_q(\mathfrak{g})$ is of types $A_n^{(1)}$ and $D_n^{(1)}$, and the $r$-th fundamental weight $\varpi_r$ f
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7feae5e4b17b2e6579be5dff8fe0c6a6
Autor:
Jae-Hoon Kwon, Il-Seung Jang
We describe the embedding from the crystal of Kashiwara-Nakashima tableaux in type $D$ of an arbitrary shape into that of $\mathbf{i}$-Lusztig data associated to a family of reduced expressions $\mathbf{i}$ which are compatible with the maximal Levi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5aa11f2b45a2027ac60183fd16920066
http://arxiv.org/abs/2001.11191
http://arxiv.org/abs/2001.11191
Autor:
Sin-Myung Lee, Jae-Hoon Kwon
We introduce a new approach to the study of finite-dimensional representations of the quantum group of the affine Lie superalgebra $\mathrm{L}\mathfrak{gl}_{M|N}=\mathbb{C}[t,t^{-1}]\otimes\mathfrak{gl}_{M|N}$ ($M\neq N$). We explain how the represen
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d8cd1ca056980863a7a42d4eea78f8d2
Autor:
Jae-Hoon Kwon
Publikováno v:
Journal of Algebra. 503:222-264
We provide an explicit combinatorial description of the embedding of the crystal of Kashiwara–Nakashima tableaux in types B and C into that of i-Lusztig data associated to a family of reduced expressions i of the longest element w 0 . The descripti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b8fa3f773c4eccd30e64efd7812475ba
https://doi.org/10.1016/j.jalgebra.2018.02.001
https://doi.org/10.1016/j.jalgebra.2018.02.001
Autor:
Il-Seung Jang, Jae-Hoon Kwon
We give a new formula for the branching rule from ${\rm GL}_n$ to ${\rm O}_n$ generalizing the Littlewood's restriction formula. The formula is given in terms of Littlewood-Richardson tableaux with certain flag conditions which vanish in a stable ran
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d32352bbd7f8657837fa3074354e0bed