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arXiv · 0710.5588

Hall algebras associated to triangulated categories, II: almost associativity

Fan Xu
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Abstract

By using the approach in \cite{XX2006} to Hall algebras arising in homologically finite triangulated categories, we find an `almost' associative multiplication structure for indecomposable objects in a 2-periodic triangulated category. As an application, we give a new proof of the theorem of Peng and Xiao in \cite{PX2000} which provides a way of realizing symmetrizable Kac-Moody algebras and elliptic Lie algebras via 2-periodic triangulated categories.

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Fan Xu. 2010-01-25. Hall algebras associated to triangulated categories, II: almost associativity. https://arxiv.org/abs/0710.5588

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