Finally , we give a simple condition for nondegeneracy of symmetric bilinear forms on infinite dimensional vector spaces 最后,我們給出有限維向量空間中對稱雙線性型非退化的簡單條件。
The dirac stracture for lie bialgebroid ( a , a * ) is a subbundle l c a + a * , which is maximally isotropic with respect to symmetric bilinear form ( , ) + , whose section is closed under the bracket [ , ] . the dual characteristic pairs of maximal isotropic subbundle is an important conception which is used to describe maximal isotropic subbundle 李雙代數(shù)胚上的dirac結(jié)構(gòu)是指在對稱配對( , ) _ +下極大迷向,在[ , ]下可積的子叢,對偶特征對是描述極大迷向子叢的重要概念。
A symmetric bilinear form is a bilinear form on a vector space that is symmetric. More simply, it is a scheme (equivalently, a function) which maps a pair of elements from the some vector space to its underlying field, it is called symmetric because the order of the elements into the function does not change the element of the field to which it maps.