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

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

• Let U q (g) be a twisted affine quantum group of type A(2) N or D(2) N and let g0 be the finite-dimensional simple Lie algebra of type AN or DN . For a Dynkin quiver of type g0, we define a full subcategory C(2) Q of the category of finite-dimensional integrable U q (g)-modules, a twisted version of the category C(1) Q introduced by Hernandez and Leclerc. Applying the general scheme of affine Schur–Weyl duality, we construct an exact faithful KLR-type duality functor F(2) Q : Rep(R) → C(2) Q , where Rep(R) is the category of finite-dimensional modules over the quiver Hecke algebra R of type