Publications
Preprint
Crystal bases of parabolic Verma modules over the quantum orthosymplectic superalgebras (with Jae-Hoon Kwon and Akito Uruno)
preprint (2023) arXiv:2307.06525 (43 pages) to appear in Journal of Algebra (special issue dedicated to the memory of Georgia Benkart)Braid group action on quantum virtual Grothendieck ring through constructing presentations (with Kyu-Hwan Lee and Se-jin Oh)
preprint (2023) arXiv:2305.19471 (49 pages)Quantization of virtual Grothendieck rings and their structure including quantum cluster algebras (with Kyu-Hwan Lee and Se-jin Oh)
preprint (2023) arXiv:2304.07246 (84 pages) to appear in Communications in Mathematical Physics
Published
7. Path description for q-characters of fundamental modules in type C
Communications in Algebra, 52, (2024), 1237-1254. (arXiv:2211.03303)
6. Crystal base of the negative half of the quantum superalgebra $U_q(gl(m|n))$ (with Jae-Hoon Kwon and Akito Uruno)
Journal of Algebra, 635, (2023), 300–347. (arXiv:2210.15288)
5. Unipotent quantum coordinate ring and prefundamental representations for types $A_n^{(1)}$ and $D_n^{(1)}$ (with Jae-Hoon Kwon and Euiyong Park)
International Mathematics Research Notices, 2, (2023), 1119–1172. (arXiv:2103.05894)
4. A combinatorial realization of Kirillov-Reshetikhin crystals for type E arising from translations
Journal of Algebra, 595, (2022), 660–694. (arXiv:2103.11510)
3. Lusztig data of Kashiwara-Nakashima tableaux in type D (with Jae-Hoon Kwon)
Algebras and Representation Theory, 24, (2021), 959–989. (arXiv:2001.11191)
2. Flagged Littlewood-Richardson tableaux and branching rule for classical groups (with Jae-Hoon Kwon)
Journal of Combinatorial Theory, Series A, 181, (2021), 105419. (arXiv:1908.11041)
1. Quantum nilpotent subalgebra of classical quantum groups and affine crystals (with Jae-Hoon Kwon)
Journal of Combinatorial Theory, Series A, 168, (2019), 219-254. (arXiv:1810.02103)
Proceedings
2. Flagged Littlewood-Richardson tableaux and branching rule for orthogonal groups (with Jae-Hoon Kwon)
Séminaire Lotharingien de Combinatoire, 84B.16, (2020) (12pp.)
1. Quantum nilpotent subalgebra of classical quantum groups and affine crystals (with Jae-Hoon Kwon)
Séminaire Lotharingien de Combinatoire, 82B.2, (2019) (12pp.)