116 citations · 721 across the 70 of their papers we have counts for
74 papers
Monoidal categorification from alternating snakes
Matheus Brito, Vyjayanthi Chari
In a recent paper, the authors introduced the notion of an alternating snake and a corresponding family of finite dimensional modules for the quantum affine algebra associated to $…
On dominant --weights and maps between Weyl modules for quantum affine
Matheus Brito, Vyjayanthi Chari
We determine the set of dominant --weights in the Weyl (or standard) modules for quantum affine . We then prove that the space of homomorphisms between standard modules…
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…
The reciprocal complement of a polynomial ring in several variables over a field
Neil Epstein, Lorenzo Guerrieri, K. Alan Loper
The *reciprocal complement* of an integral domain is the subring of its fraction field generated by the reciprocals of its nonzero elements. Many properties of ar…
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…