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Math Help - Lie Group homomorphism questions.

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    Newbie pc31's Avatar
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    Lie Group homomorphism questions.

    URGENT - Please help with the below questions:
    (presentation tomorrow)

    1. If G1 & G2 are matrix groups and F is a Lie Group isomorphism: F: G1 -> G2 then the differential dF: L(G1) -> L(G2) is also an Isomorphism.

    2. Suppose G1, G2, G3 are Lie (matrix) groups and
    F1: G1 -> G2
    F2: G2 -> G3
    are Lie group homomorphism. dF1 and dF2 are linear transformation such that:
    dF1: L(G1) -> L(G2)
    dF2: L(G2) -> L(G3)
    show that: d(F2 o F1) = dF2 o dF1

    Thanks guys!
    Last edited by pc31; April 4th 2010 at 08:21 PM.
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