Finiteness of Nichols Algebras and Nichols (Braided) Lie Algebras

Weicai Wu, Shouchuan Zhang, Yao-Zhong Zhang

It is shown that if $\mathfrak{B}(V)$ is connected Nichols algebra of diagonal type with $\dim V>1$, then $\dim ({\mathfrak{L}}^{-}(V))=\infty$ $($resp. $ \dim (\mathfrak L(V)) = \inf…