Generalizations of Lie algebras
This paper surveys recent developments on various generalizations of Lie algebras. The paper focuses on the following generalizations: superalgebras, color Lie algebras, Lie algebras in symmetric categories, free Lie \(\tau\)-algebras, tangent algebras to analytic loops, bialgebras and primitive elements, and non-associative Hopf algebras. A major part of the paper treats Lie algebras in symmetric categories. The reader will find definitions, some examples, lists of basic properties and sometimes some open problems related to all algebras from the above list.
scientific article; zbMATH DE number 6123915
scientific article