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

被引：13

作者：

Kang, Seok-Jin

Kashiwara, Masaki ^{[1
]}

Kim, Myungho ^{[2
]}

Oh, Se-jin ^{[2
]}

机构：

[1] Kyoto Univ, Math Sci Res Inst, Kyoto 6068502, Japan

[2] Korea Inst Adv Study, Sch Math, Seoul 130722, South Korea

来源：

PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY | 2015年 / 111卷

基金：

日本学术振兴会;

关键词：

REPRESENTATIONS; MODULES;

D O I：

10.1112/plms/pdv032

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let l(g)(0) be the category of finite-dimensional integrable modules over the quantum affine algebra Uq'(g) and let R-A infinity-gmod denote the category of finite-dimensional graded modules over the quiver Hecke algebra of type A(infinity). In this paper, we investigate the relationship between the categories l(A(1)N-1)(0) and l(A(2)N-1)(0) by constructing the generalized quantum affine Schur-Weyl duality functors F-(t) from R-A infinity-gmod to l(A(t)N-1)(0) (t = 1,2).

引用

页码：420 / 444

页数：25

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