Abstract

ABSTRACTLet A be a finite dimensional hereditary algebra over a finite field k and 𝒫 the category consisting of finite dimensional projective (left) A-modules. In this paper, we consider the composition subalgebra of Bridgeland’s Hall algebra of the category 𝒞m(𝒫) of m-cyclic complexes for any positive integer m≥2 and determine its generating relations.

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