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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3 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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math.RT 3years
2026 3representative citing papers
Builds monoidal category R_Q of quiver modules with higher almost split complexes whose Euler characteristics equal truncated q-characters for type A quantum affine algebras and cluster characters in finite-type cluster algebras.
A slope-indexed family of coproducts Δ_p is constructed on general quantum loop algebras, with Δ_0 = Drinfeld-Jimbo in the quantum affine case, yielding q-character multiplicativity and R-matrix intertwiners.
citing papers explorer
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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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A higher homological approach to the $q$-characters of representations of quantum affine algebras
Builds monoidal category R_Q of quiver modules with higher almost split complexes whose Euler characteristics equal truncated q-characters for type A quantum affine algebras and cluster characters in finite-type cluster algebras.
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A new new coproduct on quantum loop algebras
A slope-indexed family of coproducts Δ_p is constructed on general quantum loop algebras, with Δ_0 = Drinfeld-Jimbo in the quantum affine case, yielding q-character multiplicativity and R-matrix intertwiners.