PRIME REPRESENTATIONS IN THE HERNANDEZ-LECLERC CATEGORY: CLASSICAL DECOMPOSITIONS
PRIME REPRESENTATIONS IN THE HERNANDEZ-LECLERC CATEGORY: CLASSICAL DECOMPOSITIONS
Abstract We use the dual functional realization of loop algebras to study the prime irreducible objects in the Hernandez–Leclerc (HL) category for the quantum affine algebra associated with $\mathfrak {sl}_{n+1}$ . When the HL category is realized as a monoidal categorification of a cluster algebra (Hernandez and Leclerc (2010, Duke …