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

Seok Jin Kang; Masaki Kashiwara; Myungho Kim; Se Jin Oh

doi:10.1112/plms/pdv032

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

Seok Jin Kang, Masaki Kashiwara, Myungho Kim, Se Jin Oh

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

Let ℓ_g⁰ be the category of finite-dimensional integrable modules over the quantum affine algebra U′_q(g) and let R^A∞-gmod denote the category of finite-dimensional graded modules over the quiver Hecke algebra of type A_∞. In this paper, we investigate the relationship between the categories ℓ_AN-1(1)⁰ and ℓ_AN-1(2)⁰ by constructing the generalized quantum affine Schur-Weyl duality functors F^(t) from R^A∞-gmod to ℓ_AN-1(t)⁰ (t = 1,2).

Original language	English
Pages (from-to)	420-444
Number of pages	25
Journal	Proceedings of the London Mathematical Society
Volume	111
Issue number	2
DOIs	https://doi.org/10.1112/plms/pdv032
State	Published - 2015

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© 2015 London Mathematical Society.

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abstract = "Let ℓg0 be the category of finite-dimensional integrable modules over the quantum affine algebra U′q(g) and let RA∞-gmod denote the category of finite-dimensional graded modules over the quiver Hecke algebra of type A∞. In this paper, we investigate the relationship between the categories ℓAN-1(1)0 and ℓAN-1(2)0 by constructing the generalized quantum affine Schur-Weyl duality functors F(t) from RA∞-gmod to ℓAN-1(t)0 (t = 1,2).",

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AU - Kim, Myungho

AU - Oh, Se Jin

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N2 - Let ℓg0 be the category of finite-dimensional integrable modules over the quantum affine algebra U′q(g) and let RA∞-gmod denote the category of finite-dimensional graded modules over the quiver Hecke algebra of type A∞. In this paper, we investigate the relationship between the categories ℓAN-1(1)0 and ℓAN-1(2)0 by constructing the generalized quantum affine Schur-Weyl duality functors F(t) from RA∞-gmod to ℓAN-1(t)0 (t = 1,2).

AB - Let ℓg0 be the category of finite-dimensional integrable modules over the quantum affine algebra U′q(g) and let RA∞-gmod denote the category of finite-dimensional graded modules over the quiver Hecke algebra of type A∞. In this paper, we investigate the relationship between the categories ℓAN-1(1)0 and ℓAN-1(2)0 by constructing the generalized quantum affine Schur-Weyl duality functors F(t) from RA∞-gmod to ℓAN-1(t)0 (t = 1,2).

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EP - 444

JO - Proceedings of the London Mathematical Society

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ER -

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

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