由奇酉群规范化的群

E. Voronetsky
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引用次数: 5

摘要

给出双模上二次型的定义,并证明了一般线性群$\ mathm {GL}(P)$被初等酉群$\ mathm {EU}(P)$归一化的子群$\ mathm {GL}(P)$的夹心分类定理,如果$P$是一个具有足够大双曲部的非退化双模。
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Groups normalized by the odd unitary group
We will give a definition of quadratic forms on bimodules and prove the sandwich classification theorem for subgroups of the general linear group $\mathrm{GL}(P)$ normalized by the elementary unitary group $\mathrm{EU}(P)$ if $P$ is a nondegenerate bimodule with large enough hyperbolic part.
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