2 papers
math.RT2026
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.
math.QA2025
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…