| 1. | Some of the " inner products " are Hermitian forms.
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| 2. | These properties are not apparent if one writes it in B-1 A non-Hermitian form.
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| 3. | This happens precisely when the representation admits a nondegenerate invariant sesquilinear form, e . g . a hermitian form.
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| 4. | In addition, one can certainly consider coordinate charts on complex manifolds, perhaps with metrics which arise from bundling Hermitian forms.
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| 5. | Conjugate symmetry is also called Hermitian symmetry, and a conjugate symmetric sesquilinear form is called a " Hermitian form ".
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| 6. | Consider a complex vector space K equipped with an indefinite hermitian form \ langle \ cdot, \, \ cdot \ rangle.
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| 7. | This definition has been generalized to affine spaces over complex numbers and quaternions by replacing the quadratic form with a Hermitian form . }}
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| 8. | Special constructions such as skew-symmetric bilinear forms, Hermitian forms, and skew-Hermitian forms are all considered in the broader context.
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| 9. | Special constructions such as skew-symmetric bilinear forms, Hermitian forms, and skew-Hermitian forms are all considered in the broader context.
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| 10. | In the theory of Krein spaces it is common to call such an hermitian form an "'indefinite inner product " '.
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