Justyna Kosakowska, “Lie algebras associated with quadratic forms and their applications to Ringel–Hall algebras”, Algebra Discrete Math., 2008, Issue 4,Pages <nobr>49

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RESEARCH ARTICLE

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

Justyna Kosakowska

Faculty of Mathematics and Computer Science, Nicolaus Copernicus University, ul. Chopina 12/18, 87–100 Toruń, Polan

Abstract: 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.

MSC: 17B20

Received: 15.08.2008
Revised: 27.09.2008

Language: English