作者:\n\t罗芳,曹燕\n
Authors:\n\tLUO Fang,CAO Yan\n
摘要:\n\t研究了分裂的δ-Jordan李color三系的结构,定义了分裂的δ-Jordan李color三系的概念,利用分裂的δ-Jordan李color三系的根连通的性质,得到具有对称根系的分裂的δ-Jordan李color三系的分解:T=U+∑[α]∈Λ1/~I[α],其中U是T0的子空间,I[α]是T的理想, 并且满足如果[α]≠[β],那么{I[α],T,I[β]}={I[α],I[β],T}={T,I[α],I[β]}=0。\n
Abstract:\n\tThe structure of the split δ-Jordan Lie color system is studied, the concept of the split δ-Jordan Lie color system is defined.By developing techniques of connections of roots for δ-Jordan Lie color triple systems, we show that δ-Jordan Lie color triple systems T with a symmetric root system is of form T=U+∑[α]∈Λ1/~I[α]with U a subspace of T0and any I[α]a well described ideal of T, satisfying {I[α],T,I[β]}={I[α],I[β],T}={T,I[α],I[β]}=0, if[α]≠[β].\n
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