Un Idéal Primitif de $\calc{U}(\calc{G}[X])$ se Contracte en un Idéal Primitif de $\calc{U}(\calc{G})$

Youssef El From

Abstract: Let $k$ be a field of characteristic zero and $\calc{U}(\calc{G})$ be the enveloping algebra over $k$ of a finite-dimensional Lie algebra $\calc{G}$. Given a primitive ideal $P$ of $\calc{U}(\calc{G})[X]$, we show that $P\cap\calc{U}(\calc{G})$ is also primitive.

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