Special and exceptional mock-Lie algebras

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• 作者：Pasha Zusmanovich ^{pasha.zusmanovich@osu.cz}
• 关键词：17C10 ; 17C40 ; 17C55 ; 17B35 ; 17-08
• 刊名：Linear Algebra and its Applications
• 出版年：2017
• 出版时间：1 April 2017
• 年：2017
• 卷：518
• 期：Complete
• 页码：79-96
• 全文大小：400 K
• 卷排序：518

文摘

We observe several facts and make conjectures about commutative algebras satisfying the Jacobi identity. The central question is which of those algebras admit a faithful representation (i.e., in Lie parlance, satisfy the Ado theorem, or, in Jordan parlance, are special).