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- W2619519757 abstract "We prove that the Grothendieck rings of category $$mathcal {C}^{(t)}_Q$$ over quantum affine algebras $$U_q'(mathfrak {g}^{(t)})$$ $$(t=1,2)$$ associated with each Dynkin quiver Q of finite type $$A_{2n-1}$$ (resp. $$D_{n+1}$$ ) are isomorphic to one of the categories $$mathcal {C}_{mathscr {Q}}$$ over the Langlands dual $$U_q'({^L}mathfrak {g}^{(2)})$$ of $$U_q'(mathfrak {g}^{(2)})$$ associated with any twisted adapted class $$[mathscr {Q}]$$ of $$A_{2n-1}$$ (resp. $$D_{n+1}$$ ). This results provide simplicity-preserving correspondences on Langlands duality for finite-dimensional representation of quantum affine algebras, suggested by Frenkel–Hernandez." @default.
- W2619519757 created "2017-06-05" @default.
- W2619519757 creator A5020587578 @default.
- W2619519757 creator A5069199941 @default.
- W2619519757 date "2018-06-26" @default.
- W2619519757 modified "2023-10-16" @default.
- W2619519757 title "Categorical relations between Langlands dual quantum affine algebras: doubly laced types" @default.
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- W2619519757 doi "https://doi.org/10.1007/s10801-018-0829-z" @default.
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