Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 23, No. 1, pp. 1-6 (2007)

On some formulas in the Hall algebra of the Kronecker algebra

Csaba Szántó

Babes-Bolyai University, Cluj-Napoca

Abstract: In [5] Pu Zhang presents a PBW-basis of the composition subalgebra of the Hall algebra in the Kronecker case. The construction is based on formulas expressing the product of some specific elements in the Hall algebra. Using a different approach we will reprove these formulas in an entirely independent manner.

Keywords: Kronecker algebra, Hall algebra, composition algebra.

Classification (MSC2000): 16G20; 17B37

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