Reciprocal characters of affine Hecke algebra modules equal dominant q-characters of quantum affine algebra modules via Schur-Weyl duality, with multiplicities computed by explicit tableau-counting formulas.
Rings of skew polynomials and Gelfand- Kirillov conjecture for quantum groups
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The authors prove that proper relative Ginzburg algebras yield an additive Λ-cluster algebra structure via negative extensions in Higgs categories, providing an additive view of the monoidal Λ-invariant for untwisted simply-laced types.
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On reciprocal characters and the quantum affine Schur-Weyl duality
Reciprocal characters of affine Hecke algebra modules equal dominant q-characters of quantum affine algebra modules via Schur-Weyl duality, with multiplicities computed by explicit tableau-counting formulas.
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Additive categorification of the monoidal $\Lambda$-invariant
The authors prove that proper relative Ginzburg algebras yield an additive Λ-cluster algebra structure via negative extensions in Higgs categories, providing an additive view of the monoidal Λ-invariant for untwisted simply-laced types.