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arxiv: math/0406325 · v1 · submitted 2004-06-16 · 🧮 math.QA · math-ph· math.MP

Left-symmetric Algebras From Linear Functions

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keywords algebrasleft-symmetricfunctionslinearsometheyappearingcertain
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In this paper, some left-symmetric algebras are constructed from linear functions. They include a kind of simple left-symmetric algebras and some examples appearing in mathematical physics. Their complete classification is also given, which shows that they can be regarded as generalization of certain 2-dimensional left-symmetric algebras.

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