Geodesic
Lie algebras associated with quadratic forms and their applications to Ringel--Hall algebras
Algebra and discrete mathematics, no. 4 (2008), pp. 49-79

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We define and investigate Lie algebras associated with quadratic forms. We also present their connections with Lie algebras and Ringel–Hall algebras associated with representation directed algebras.
Keywords: quadratic form, Lie algebra, Ringel–Hall algebra. 
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     author = {Justyna Kosakowska},
     title = {Lie algebras associated with quadratic forms and their applications to {Ringel--Hall} algebras},
     journal = {Algebra and discrete mathematics},
     pages = {49--79},
     publisher = {mathdoc},
     number = {4},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ADM_2008_4_a5/}
}
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Justyna Kosakowska. Lie algebras associated with quadratic forms and their applications to Ringel--Hall algebras. Algebra and discrete mathematics, no. 4 (2008), pp. 49-79. http://geodesic.mathdoc.fr/item/ADM_2008_4_a5/