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    Is it defined?
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    (Original post by J.F.N)
    Is it defined?
    Yes - but fields are commutative - so it's very boring!
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    (Original post by RichE)
    Yes - but fields are commutative - so it's very boring!
    Um, I didn't mean the group theoretic conjugation (i.e. bab-1). I meant conjugation as in, say, complex conjugation.
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    (Original post by J.F.N)
    Um, I didn't mean the group theoretic conjugation (i.e. bab-1). I meant conjugation as in, say, complex conjugation.
    What would it mean generally? Would you require it to be an order two automorphism of the field K with a non-trivial fixed field F?

    If so then no as Z_3 has only the identity for an automorphism.
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    (Original post by RichE)
    What would it mean generally? Would you require it to be an order two automorphism of the field K with a non-trivial fixed field F?

    If so then no as Z_3 has only the identity for an automorphism.
    Ok, I get it. I was just wondering if say, given an inner product on a vector space over a field K, does it make sense to speak of the 'conjugate' of <x,y>. I guess not.
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    (Original post by J.F.N)
    Ok, I get it. I was just wondering if say, given an inner product on a vector space over a field K, does it make sense to speak of the 'conjugate' of <x,y>. I guess not.
    Inner product spaces are real or complex. So how would the question arise?
 
 
 
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