논문KCI 등재
Cyclotomic quiver Hecke algebras corresponding to minuscule representations
대한수학회 (The Korean Mathematical Society)|2020.11|대한수학회지 (Journal of the KMS)|제57권 제6호|pp. 1373-1388|DOI 10.4134/JKMS.j190647
4
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
In the paper, we give an explicit basis of the cyclotomic quiver Hecke algebra corresponding to a minuscule representation of finite type.
Abstract
In the paper, we give an explicit basis of the cyclotomic quiver Hecke algebra corresponding to a minuscule representation of finite type.
참고문헌 (19)
- S. Ariki, "Representation type of nite quiver Hecke algebras of type Aℓ(1) for arbitrary parameters", Int. Math. Res. Not. IMRN, (15), pp.6070~6135 (2015)[DOI]
- S. Ariki, "Representation type of nite quiver Hecke algebras of type A(2)2ℓ", J. Algebra, 397, pp.457~488 (2014)[DOI]
- N. Bourbaki, "Elements of Mathematics (Berlin)" (1982), Springer-Verlag
- J. Brundan, "Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras", Invent. Math, 178(3), pp.451~484 (2009)[DOI]
- G. Feinberg, "Fully commutative elements of type D and homogeneous representations of KLR-algebras", J. Comb, 6(4), pp.535~557 (2015)[DOI]
- G. Feinberg, "Homogeneous representations of type A KLR-algebras and Dyck paths", Sem. Lothar. Combin, 75, pp.19~ (2019)
- M. Geck, "Characters of nite Coxeter groups and Iwahori-Hecke alge-bras" (2000), The Clarendon Press, Oxford University Press
- J. Hong, "Introduction to quantum groups and crystal bases", Graduate Studies in Mathematics, 42 (2002), American Mathematical Society[DOI]
- M. Jimbo, "Solitons and innite-dimensional Lie algebras", Publ. Res. Inst. Math. Sci, 19(3), pp.943~1001 (1983)[DOI]
- S. -J. Kang, "Categorication of highest weight modules via Khovanov-Lauda-Rouquier algebras", Invent. Math, 190(3), pp.699~742 (2012)[DOI]
- M. Kashiwara, "Crystalizing the q-analogue of universal enveloping algebras", Comm. Math. Phys, 133(2), pp.249~260 (1990)
- M. Kashiwara, "On crystal bases of the Q-analogue of universal enveloping algebras", Duke. Math. J, 63(2), pp.46516~ (1991)
- M. Kashiwara, "Biadjointness in cyclotomic Khovanov-Lauda-Rouquier algebras", Publ. Res. Inst. Math. Sci, 48(3), pp.501~524 (2012)[DOI]
- M. Kashiwara, "Monoidal categories associated with strata of ag manifolds", Adv. Math, 328, pp.959~1009 (2018)[DOI]
- M. Khovanov, "A diagrammatic approach to categorication of quantum groups. I", Represent. Theory, 13, pp.309~347 (2009)[DOI]
- M. Khovanov, "A diagrammatic approach to categorication of quantum groups II", Trans. Amer. Math. Soc, 363(5), pp.2685~2700 (2011)[DOI]
- A. Kleshchev, "Homogeneous representations of Khovanov-Lauda algebras", J. Eur. Math. Soc. (JEMS), 12(5), pp.1293~1306 (2010)[DOI]
- R. Rouquier, "2 Kac-Moody algebras", arXiv:0812.5023, ~ (2008)
- J. R. Stembridge, "Minuscule elements of Weyl groups", J. Algebra, 235(2), pp.722~743 (2001)[DOI]
관련 논문AI추천
Combinatorial Auslander-Reiten quivers and reduced expressions서의린, 오세진대한수학회 · 대한수학회지2019 · 제56권 제2호Fock space representations of quantum affine algebras and generalized Lascoux-Leclerc-Thibon algorithm강석진, 권재훈대한수학회 · 대한수학회지2008 · 제45권 제4호Cellular algebras and centers of Hecke algebras이인석, Hyekyung Oh, Kyung-Hwan Park, Yeon-Kwan Jeong대한수학회 · 대한수학회보2002 · 제39권 제1호GENERALIZED MCKAY QUIVERS, ROOT SYSTEM AND KAC-MOODY ALGEBRASBo Hou, Shilin Yang대한수학회 · 대한수학회지2015 · 제52권 제2호The $U$-projective resolution of modules over path algebras of types $A_n$ and $\tilde{A}_n$Intan Muchtadi-Alamsyah, Karin Baur, Yudi Mahatma대한수학회 · 대한수학회논문집2019 · 제34권 제3호Hereditary and semihereditary representations of quiversAdnane Roudi, Driss Bennis대한수학회 · 대한수학회보2021 · 제58권 제6호
이 간행물의 다른 논문 (13건)
Erd\H os-Ko-Rado type theorems for simplicial complexes via algebraic shifting김연진pp. 1323-1333A certain K\"ahler potential of the Poincar\'e metric and its characterizationSungmin Yoo, 최영준, 이강혁pp. 1335-1345Bifurcation problem for a class of quasilinear fractional Schr\"{o}dinger equationsImed Abidpp. 1347-1372On the extension dimension of module categoriesTiwei Zhao, Yeyang Pengpp. 1389-1406A $q$-queens problem V. some of our favorite pieces: queens, bishops, rooks, and nightridersSeth Chaiken, Christopher R. H. Hanusa, Thomas Zaslavskypp. 1407-1433
