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A MathOverflow user had some trouble asking on MathOverflow about how to draw the Dynkin diagrams from pages 56 and 57 of Humphrey's book Introduction to Lie Groups and Representation Theory. He seems to be unclear how to ask here, so I thought I would ask (and answer) his question myself. How do you draw those diagrams?

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Humphrey's diagrams

\documentclass{amsart}
\usepackage{dynkin-diagrams}
\begin{document}
Page 56:
\pgfkeys{/Dynkin diagram,arrows=false}
\[
\begin{array}{cc}
A_1 \times A_1 & \dynkin{A}{1}\dynkin{A}{1}\\
A_2                     & \dynkin{A}{2}\\
B_2                     & \dynkin{B}{2}\\
G_2                     & \dynkin{G}{2} 
\end{array}
\]

Page 57:
\pgfkeys{/Dynkin diagram,arrows=true}
\[
\begin{array}{cc}
B_2                     & \dynkin{B}{2}\\
G_2                     & \dynkin{G}{2} 
\end{array}
\]
\end{document}
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