Hall algebra of morphism category
This paper investigates a universal PBW-basis and a minimal set of generators for the Hall algebra , where is the category of morphisms between projective objects in a finitary hereditary exact category . When is the representation category of a Dynkin quiver, we develop multiplication formulas for the degenerate Hall Lie algebra , which is spanned by isoclasses of indecomposable objects in . As applications, we demonstrate that contains a Lie subalgebra isomorphic to the central extension...