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arxiv: 1709.00213 · v1 · pith:Z3WDBPREnew · submitted 2017-09-01 · 🧮 math.RT · math.QA· math.RA

Multiplicative properties of certain elements in Bridgeland's Hall algebras

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keywords elementsfinitealgebrabridgelandcertainhallalgebrasdimension
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Let $A$ be a finite dimensional algebra of finite global dimension over a finite field. In the present paper, we introduce certain elements in Bridgeland's Hall algebra of $A$, and give a multiplication theorem of these elements. In particular, this generalizes the main result in $[4]$.

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