一类辫子李余代数(英文)

A Class of Braided Lie Coalgebras

设 (H ,R) ,(B ,<| >)分别为三角和余三角Hopf代数。本文引进并讨论了广义Long模范畴 BHL 上的Lie余代数 (简称辫子李余代数 )及它的泛余包络余代数 ,由此构造了一类Hopf代数 ,给出了自然映射ΓC(UCM)M为满射的充要条件。

Let ( H,R ) be triangular and (B,<|>) cotriangular.A class of Lie coalgebras in Long-module categories BH L (braided Lie coalgebras) are introduced and studied.In particular,a necessary and sufficient condition for the natural map Г C(U CM)M to be sujective is given.