A Koszul category of representations of finitary Lie algebras
Elizabeth Dan-Cohen

We find an interesting category of representations of the three simple finitary Lie algebras. The modules in question are weight modules for every splitting Cartan subalgebra. We describe the injective modules in this category, and show that the category is antiequivalent to the category of locally unitary finite-dimensional modules over a direct limit of finite-dimensional Koszul algebras. Joint with Ivan Penkov and Vera Serganova.

A Koszul category of representations of finitary Lie algebras Elizabeth Dan-Cohen

A Koszul category of representations of finitary Lie algebras
Elizabeth Dan-Cohen