Abstract
AbstractIn this chapter, we consider binary generalizations of Lie algebras appeared in modern mathematics and mathematical physics. We consider recent developments and remaining problems on the subject. The chapter discusses Lie superalgebras, color Lie algebras, and Lie algebras in symmetric categories, free Lie τ-algebras.KeywordsHopf AlgebraQuadratic AlgebraSymmetric Monoidal CategoryNichols AlgebraBraided Hopf AlgebraThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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