New posts in Lie Algebras

Prove that $e^{t(X+Y)}=e^{tX} e^{tY}$ implies $[X,Y]=0$

Is every element of a complex semisimple Lie algebra a commutator?

Are there always nontrivial primitive elements in a Hopf algebra?

Why does exponentiating the derivative yield the shift operator?

Is there a way to find $B,C$ such that $A=[B,C]$?

How to prove that $B^\vee$ is a base for coroots?

Is the center of the universal enveloping algebra generated by the center of the lie algebra?

Equivalence of Two Lorentz Groups

Examples of derivation of Lie algebras

Under what conditions is the exponential map on a Lie algebra injective?