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arxiv: 1306.6270 · v1 · pith:7H7EQ64Dnew · submitted 2013-06-26 · 🧮 math.RT

Lie algebras associated with quadratic forms and their applications to Ringel-Hall algebras

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keywords algebrasassociatedformsquadraticringel-hallapplicationsconnectionsdefine
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We define and investigate nilpotent Lie algebras associated with quadratic forms. We also present their connections with Lie algebras and Ringel-Hall algebras associated with representation directed algebras.

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