New Homogeneous Ideals for Current Algebras: Filtrations, Fusion Products and Pieri Rules
New Homogeneous Ideals for Current Algebras: Filtrations, Fusion Products and Pieri Rules
New graded modules for the current algebra of sln are introduced. Relating these modules to the fusion product of simple sln-modules and local Weyl modules of truncated current algebras shows their expected impact on several outstanding conjectures. We fur- ther generalize results on PBW filtrations of simple sln-modules and use …