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- W2964257458 abstract "We construct an exact tensor functor from the category A of finite-dimensional graded modules over the quiver Hecke algebra of type A ∞ to the category C B n ( 1 ) of finite-dimensional integrable modules over the quantum affine algebra of type B n ( 1 ) . It factors through the category T 2 n , which is a localization of A. As a result, this functor induces a ring isomorphism from the Grothendieck ring of T 2 n (ignoring the gradings) to the Grothendieck ring of a subcategory C B n ( 1 ) 0 of C B n ( 1 ) . Moreover, it induces a bijection between the classes of simple objects. Because the category T 2 n is related to categories C A 2 n − 1 ( t ) 0 ( t = 1 , 2 ) of the quantum affine algebras of type A 2 n − 1 ( t ) , we obtain an interesting connection between those categories of modules over quantum affine algebras of type A and type B. Namely, for each t = 1 , 2 , there exists an isomorphism between the Grothendieck ring of C A 2 n − 1 ( t ) 0 and the Grothendieck ring of C B n ( 1 ) 0 , which induces a bijection between the classes of simple modules." @default.
- W2964257458 created "2019-07-30" @default.
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- W2964257458 date "2018-06-19" @default.
- W2964257458 modified "2023-10-18" @default.
- W2964257458 title "Monoidal categories of modules over quantum affine algebras of type A and B" @default.
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- W2964257458 doi "https://doi.org/10.1112/plms.12160" @default.
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