mathlib3
c1f3f1af - feat(analysis/complex/basic): determinant of `conj_lie` (#11389)

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4 years ago
feat(analysis/complex/basic): determinant of `conj_lie` (#11389) Add lemmas giving the determinant of `conj_lie`, as a linear map and as a linear equiv, deduced from the corresponding lemmas for `conj_ae` which is used to define `conj_lie`. This completes the basic lemmas about determinants of linear isometries of `ℂ` (which can thus be used to talk about how those isometries affect orientations), since we also have `linear_isometry_complex` describing all such isometries in terms of `rotation` and `conj_lie`.
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