Proves Hernandez conjecture on q-character equality for twisted and untwisted quantum affine modules via folding shuffle algebras and generalizes to twisted quantum toroidal algebras.
Freezing operators in representation theory of quantum loop algebras
2 Pith papers cite this work. Polarity classification is still indexing.
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Introduces shifted twisted quantum affine algebras, proves rationality of Cartan currents, classifies simple modules in associated categories by rational ℓ-weights, and gives q-character formulas via Borel restrictions.
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Folding shuffle algebras and twisted $q$-characters
Proves Hernandez conjecture on q-character equality for twisted and untwisted quantum affine modules via folding shuffle algebras and generalizes to twisted quantum toroidal algebras.
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Representations of shifted twisted quantum affine algebras
Introduces shifted twisted quantum affine algebras, proves rationality of Cartan currents, classifies simple modules in associated categories by rational ℓ-weights, and gives q-character formulas via Borel restrictions.