\documentclass[crop,tikz,convert={outext=.svg,command=\unexpanded{pdf2svg \infile\space\outfile}},multi=false]{standalone}
\usepackage{tikz-cd}
\usepackage{amssymb}

\tikzcdset{arrow style=tikz, diagrams={>=stealth}}

\begin{document}
% https://q.uiver.app/#q=WzAsNCxbMCwwLCJcXG1hdGhmcmFre2d9Il0sWzEsMCwiXFxtYXRoZnJha3tofSJdLFswLDEsIkciXSxbMSwxLCJIIl0sWzAsMSwiXFxwaGlfKiJdLFswLDIsIlxcZXhwIiwyXSxbMiwzLCJcXHBoaSIsMl0sWzEsMywiXFxleHAiXV0=
\begin{tikzcd}
	{\mathfrak{g}} & {\mathfrak{h}} \\
	G & H
	\arrow["{\phi_*}", from=1-1, to=1-2]
	\arrow["\exp"', from=1-1, to=2-1]
	\arrow["\exp", from=1-2, to=2-2]
	\arrow["\phi"', from=2-1, to=2-2]
\end{tikzcd}

\end{document}