4 papers
Borel and shifted category O
David Hernandez, Andrei Neguţ
We prove a precise relation between simple modules in the Borel category O and the shifted category O for a symmetrizable Kac-Moody Lie algebra.
Extremal monomial property of q-characters and polynomiality of the X-series
Edward Frenkel, David Hernandez
The character of every irreducible finite-dimensional representation of a simple Lie algebra has the highest weight property. The invariance of the character under the action of th…
Extended Baxter relations and QQ-systems for quantum affine algebras
Edward Frenkel, David Hernandez
Generalized Baxter's TQ-relations and the QQ-system are systems of algebraic relations in the category O of representations of the Borel subalgebra of the quantum affine algebra U_…
Folded quantum integrable models and deformed W-algebras
Edward Frenkel, David Hernandez, Nicolai Reshetikhin
We propose a novel quantum integrable model for every non-simply laced simple Lie algebra , which we call the folded integrable model. Its spectra correspond to solu…