Bourbaki

Exercise 2, § 2

Lie Groups and Lie Algebras, V

With the notation of Exerc. 1, show that det⁡(sx,y∗)=1−⟨x,y∗⟩\det(s_{x, y^*}) = 1 - \langle x, y^* \rangle if E is a free K-module of finite type.

Solution

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Transcribed from the printed volume. Not translated.