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Is there a textbook with good coverage on the theory of orthogonal matrices? If possible, I would prefer that the orthogonal matrices are allowed to have complex entries.

Note that I am not interested in matrix analysis, which seems to be quite a popular subject within matrix theory (see this for example).

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Michael Artin's "Algebra"? –  Prahlad Vaidyanathan Aug 12 '13 at 16:29
    
Maybe you'll be interested in the special groups. –  metacompactness Aug 12 '13 at 16:30
    
@AlgebraAnalysisManifolds It is not specific (if it were, I would just ask about that instead). My interests lie in combinations, which may help to explain why I have explicitly excluded analysis. –  Tyson Williams Aug 12 '13 at 21:19
    
@metacompactness Sure, discussion about the special orthogonal matrices would also be welcomed but is not necessary. –  Tyson Williams Aug 12 '13 at 21:20
    
Note that the complex-entry analog to the orthogonal matrix is the unitary matrix. –  Gerry Myerson Aug 13 '13 at 13:19

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