Namespaces
Variants
Actions

Isotropic quadratic form

From Encyclopedia of Mathematics
(Redirected from Anisotropic quadratic form)
Jump to: navigation, search

2010 Mathematics Subject Classification: Primary: 15A63 [MSN][ZBL]

A quadratic form $q$ on a vector space over a field $F$ which is non-degenerate (the associated bilinear form is non-singular) but which represents zero non-trivially: there is a non-zero vector $v$ such that $q(v) = 0$.

An anisotropic quadratic form' $q$ is one for which $q(v) = 0 \Rightarrow v=0$.

References

How to Cite This Entry:
Anisotropic quadratic form. Encyclopedia of Mathematics. URL: http://www.encyclopediaofmath.org/index.php?title=Anisotropic_quadratic_form&oldid=35460