微分代数群的一个Jordan-Hoelder定理
A Jordan-Hoelder Theorem for Differential Algebraic Groups
摘要:
证明了微分代数群可以被微分代数群的有限个次正规列滤除,使得其后继的子群几乎是单的,即没有同类型的正规子群.给出了一个唯一性结果,证明了几乎单群的几个性质,并在常微分情形下,对几乎单线性微分代数群进行了分类。
英文摘要:
We show that a differential algebraic group can be filtered by a finite subnormal series of differential algebraic groups such that successive quotients are almost simple, that is have no normal subgroups of the same type. We give a uniqueness result, prove several properties of almost simple groups and, in the ordinary differential case, classify almost simple linear differential algebraic groups.
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