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Auslander-Reiten quiver of type D and generalized quantum affine Schur-Weyl duality
We first provide an explicit combinatorial description of the
Auslander-Reiten quiver of finite type . Then we can investigate
the categories of finite dimensional representations over the quantum affine
algebra and the quiver Hecke algebra
associated to , by using the combinatorial
description and the generalized quantum affine Schur-Weyl duality functor. As
applications, we can prove that Dorey's rule holds for the category
\Rep(R_{D_{n+1}}) and prove an interesting difference between multiplicity
free positive roots and multiplicity non-free positive roots.Comment: We added the result on relationship between denominator formulas and
AR-quive
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