140 citations · 784 across the 35 of their papers we have counts for
37 papers
Isomorphisms among quantum Grothendieck rings and cluster algebras
Ryo Fujita, David Hernandez, Se-jin Oh +1
We establish a cluster theoretical interpretation of the isomorphisms of [F.-H.-O.-O., J. Reine Angew. Math., 2022] among quantum Grothendieck rings of representations of quantum l…
Weyl group symmetry of q-characters
Edward Frenkel, David Hernandez
We define an action of the Weyl group W of a simple Lie algebra g on a completion of the ring Y, which is the codomain of the q-character homomorphism of the corresponding quantum…
Shifted Yangians and polynomial R-matrices
David Hernandez, Huafeng Zhang
We study the category O of representations over a shifted Yangian. This category has a tensor product structure and contains distinguished modules, the positive prefundamental modu…
Isomorphisms among quantum Grothendieck rings and propagation of positivity
Ryo Fujita, David Hernandez, Se-jin Oh +1
Let ( be a pair of complex finite-dimensional simple Lie algebras whose Dynkin diagrams are related by (un)folding, with being of simply-lace…
Representations of shifted quantum affine algebras
David Hernandez
We develop the representation theory of shifted quantum affine algebras and of their truncations which appeared in the study of quantized K-th…
Toroidal Grothendieck rings and cluster algebras
Laura Fedele, David Hernandez
We study deformations of cluster algebras with several quantum parameters, called toroidal cluster algebras, which naturally appear in the study of Grothendieck rings of representa…