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