5 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 $…
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…
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…
Rank growth of elliptic curves in and quartic extensions of the rationals
Daniel Keliher
We investigate the rank growth of elliptic curves from to and quartic extensions . In particular, we are interested in the quantity $\mathrm{…