Hi, All:(adsbygoogle = window.adsbygoogle || []).push({});

Given a quadratic form Q(x,y) over a field of characteristic different from 2, we can

find the bilinear form B(x,y) associated with Q by using the formula:

(0.5)[Q(x+y)-Q(x)-Q(y)]=B(x,y).

I know there is a whole theory about what happens when we work over fields of

characteristic 2, with the Arf -Invariant , Artin's and other's books on Geometric

Algebra and everything, which I am looking into.

Still, I wonder if someone knows the quick-and-dirty on how to transform an

actual, specific quadratic q form over Z/2 into its associated bilinear form.

Thanks.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Bilinear Forms associated With a Quadratic Form over Z/2

Loading...

Similar Threads for Bilinear Forms associated |
---|

I Getting a matrix into row-echelon form, with zero-value pivots |

I Is a commutative A-algebra algebraic over A associative? |

I Index (killing form ?) in a reducible representation |

I Bilinear forms |

**Physics Forums | Science Articles, Homework Help, Discussion**