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Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras IV

Title
Symmetric quiver Hecke algebras and R-matrices of quantum affine algebras IV
Authors
Kang, Seok-JinKashiwara, MasakiKim, MyunghoOh, Se-Jin
Ewha Authors
오세진
SCOPUS Author ID
오세진scopus
Issue Date
2016
Journal Title
SELECTA MATHEMATICA-NEW SERIES
ISSN
1022-1824JCR Link1420-9020JCR Link
Citation
vol. 22, no. 4, pp. 1987 - 2015
Keywords
Quantum affine algebraQuiver Hecke algebraQuantum group
Publisher
SPRINGER BASEL AG
Indexed
SCIE; SCOPUS WOS scopus
Abstract
Let be a twisted affine quantum group of type or and let be the finite-dimensional simple Lie algebra of type or . For a Dynkin quiver of type , we define a full subcategory of the category of finite-dimensional integrable -modules, a twisted version of the category introduced by Hernandez and Leclerc. Applying the general scheme of affine Schur-Weyl duality, we construct an exact faithful KLR-type duality functor , where is the category of finite-dimensional modules over the quiver Hecke algebra R of type with nilpotent actions of the generators . We show that sends any simple object to a simple object and induces a ring isomorphism .
DOI
10.1007/s00029-016-0267-5
Appears in Collections:
자연과학대학 > 수학전공 > Journal papers
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