This article focuses on the connection between Leibniz and the production of Saxony hard porcelain.Leibniz commissioned Jesuits to investigate China’s porcelain-making techniques,sharing relevant information with Zin...This article focuses on the connection between Leibniz and the production of Saxony hard porcelain.Leibniz commissioned Jesuits to investigate China’s porcelain-making techniques,sharing relevant information with Zinnhaus and inspiring him with scientific ideas.Zinnhaus achieved key technological breakthroughs,and Poterger continued to refine the formula and establish the factory.Although Leibniz did not directly participate in the experiments,he promoted this process through his ideas,information,and connections,serving as an important behind-the-scenes force.展开更多
A left Leibniz algebra equipped with an invariant nondegenerate skew-symmetric bilinear form(i.e.,a skew-symmetric quadratic Leibniz algebra)is constructed.The notion of T^(*)-extension of Lie-Yamaguti algebras is int...A left Leibniz algebra equipped with an invariant nondegenerate skew-symmetric bilinear form(i.e.,a skew-symmetric quadratic Leibniz algebra)is constructed.The notion of T^(*)-extension of Lie-Yamaguti algebras is introduced and it is observed that the trivial extension of a Lie-Yamaguti algebra is a quadratic Lie-Yamaguti algebra.It is proved that every symmetric(resp.,skew-symmetric)quadratic Leibniz algebra induces a quadratic(resp.,symplectic)LieYamaguti algebra.展开更多
文摘This article focuses on the connection between Leibniz and the production of Saxony hard porcelain.Leibniz commissioned Jesuits to investigate China’s porcelain-making techniques,sharing relevant information with Zinnhaus and inspiring him with scientific ideas.Zinnhaus achieved key technological breakthroughs,and Poterger continued to refine the formula and establish the factory.Although Leibniz did not directly participate in the experiments,he promoted this process through his ideas,information,and connections,serving as an important behind-the-scenes force.
文摘A left Leibniz algebra equipped with an invariant nondegenerate skew-symmetric bilinear form(i.e.,a skew-symmetric quadratic Leibniz algebra)is constructed.The notion of T^(*)-extension of Lie-Yamaguti algebras is introduced and it is observed that the trivial extension of a Lie-Yamaguti algebra is a quadratic Lie-Yamaguti algebra.It is proved that every symmetric(resp.,skew-symmetric)quadratic Leibniz algebra induces a quadratic(resp.,symplectic)LieYamaguti algebra.
