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单词 linear action
释义
linear action

Mathematics
  • An action of a group G on a vector space V is linear if

    g.(c1v1+c2v2)=c1g.v1+c2g.v2

    for any group elements g, vectors v1, v2 and scalars c1, c2. Equivalently, this means that the action’s representation G → GL(V) is a homomorphism.


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