Equivalence between module categories over quiver Hecke algebras and Hernandez–Leclerc's categories in general types
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DOI: 10.1016/j.aim.2021.107916
Abstract: Abstract We prove in full generality that the generalized quantum affine Schur–Weyl duality functor, introduced by Kang–Kashiwara–Kim, gives an equivalence between the category of finite-dimensional modules over a quiver Hecke algebra and a certain full… read more here.
Keywords: quiver hecke; equivalence module; module categories; general types ... See more keywords
The prime spectra of relative stable module categories
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DOI: 10.1090/tran/7297
Abstract: For a finite group $G$ and an arbitrary commutative ring $R$, Brou\'e has placed a Frobenius exact structure on the category of finitely generated $RG$-modules by taking the exact sequences to be those that split… read more here.
Keywords: prime spectra; module; relative stable; stable module ... See more keywords