116 citations · 721 across the 70 of their papers we have counts for
39 papers · 1 filter
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…
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…
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…
Unique Factorization For Tensor Products of Parabolic Verma Modules
K. N. Raghavan, V. Sathish Kumar, R. Venkatesh +1
Let be a symmetrizable Kac-Moody Lie algebra with Cartan subalgebra . We prove a unique factorization property for tensor products of parabolic Verma m…
Quantum affine algebras, graded limits, and flags
Matheus Brito, Vyjayanthi Chari, Deniz Kus +1
In this survey, we review some of the recent connections between the representation theory of (untwisted) quantum affine algebras and the representation theory of current algebras.…
Generalized Demazure Modules and Prime Representations in Type
Vyjayanthi Chari, Justin Davis, Ryan Moruzzi
The goal of this paper is to understand the graded limit of a family of irreducible prime representations of the quantum affine algebra associated to a simply-laced simple Lie alge…