相容Malcev代数的表示
Representation of Compatible Malcev Algebra
摘要: 本文首先给出了相容Malcev代数的定义和两个Malcev代数相容的条件，然后给出了相容Malcev代数的表示，并构造了它的一类特殊表示。证明了相容Malcev代数的表示的对偶仍是相容Malcev代数的表示。最后给出了相容pre-Malcev代数的定义和两个pre-Malcev代数相容的条件。
Abstract:
In this paper, we first give the definition of compatible Malcev algebra and the conditions that two Malcev algebras are compatible. Then, we give the representation of compatible Malcev algebra and construct a special representation of compatible Malcev algebra. It is proved that the dual mapping of the representation of compatible Malcev algebra is still the representation of compatible Malcev algebra. Finally, we give the definition of compatible pre-Malcev algebra and the conditions that two pre-Malcev algebras are compatible.
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