"We study imaginary representations of the Khovanov-Lauda-Rouquier algebras of affine Lie type. Irreducible modules for such algebras arise as simple heads of standard modules. In order to define standard modules one needs to have a cuspidal system for a fixed convex preorder. A…
Preliminaries -- Khovanov-Lauda-Rouquier alebras -- Imaginary Schur-Weyl duality -- Imaginary Howe duality -- Morita equaivalence -- On formal characters of imaginary modules -- Imaginary tensor space for non-simply-laced types
"We study imaginary representations of the Khovanov-Lauda-Rouquier algebras of affine Lie type. Irreducible modules for such algebras arise as simple heads of standard modules. In order to define standard modules one needs to have a cuspidal system for a fixed convex preorder. A…