
This paper gives a new derivation of Green's formula on Hall numbers of a finitary hereditary abelian category \(\mathcal{A}\), which is based on Toën's formula of the multiplication structure constants in the derived Hall algebra of \(\mathcal{A}\).
Green's formula, Representations of quivers and partially ordered sets, Quantum groups (quantized enveloping algebras) and related deformations, Toën's formula, derived Hall algebra, Simple, semisimple, reductive (super)algebras
Green's formula, Representations of quivers and partially ordered sets, Quantum groups (quantized enveloping algebras) and related deformations, Toën's formula, derived Hall algebra, Simple, semisimple, reductive (super)algebras
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