Example 1

Tag 015Z, permanent. Cite it as [Bourbaki, Tag 015Z].

Lie Groups and Lie Algebras, chapter VIII, § 9. The formula of Hermann Weyl

In the Example of no. 1, we find that

dim $V(m) =(\frac{m}{2}\alpha +\frac{\alpha}{2})(H_{\alpha})/\frac{\alpha}{2}(H_{\alpha}) =m+ 1$ ,

which we knew in §1.

Bourbaki sets the proof directly after the statement, and the corpus does not separate them, so what is above is the statement and its proof together.

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