论文标题
内部产品在任意领域的正交化
Simultaneous orthogonalization of inner products over arbitrary fields
论文作者
论文摘要
我们在任意字段$ \ mathbb {k} $上为内部产品家族提供了必要的条件，以相对于所有内部产品具有正交基础。还考虑了进化代数的一些应用。
We give necessary and sufficient conditions for a family of inner products in a finite-dimensional vector space $V$ over an arbitrary field $\mathbb{K}$ to have an orthogonal basis relative to all the inner products. Some applications to evolution algebras are also considered.
