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math.RT2025
Alternating snake modules and a determinantal formula
Matheus Brito, Vyjayanthi Chari
We introduce a family of modules for the quantum affine algebra which include as very special cases both the snake modules and the modules arising from a monoidal categorification…
math.RT2024
Schur-Weyl Duality for Toroidal Algebras of Type
Vyjayanthi Chari, Lauren Grimley, Zongzhu Lin +3
We state and prove an analog of the Schur-Weyl duality for a quotient of the classical -toroidal Lie algebra of type . We then provide a method to extend this duality to the…
math.RT2024
Representations of the super-Yangian of type
A. I. Molev
We consider the classification problem for finite-dimensional irreducible representations of the Yangians associated with the orthosymplectic Lie superalgebras ${\frak{osp}}_{2n|2m…