Pfaffian and determinants of skew symmetric matrices

[camilus]

Can anyone explain or point me to a good resource to understand these operators? I'm trying to the understand determinants for skew symmetric matrices, more specifically the Moore determinant and it's polarization of mixed determinants. Can hone shed some light? I'm confused as to how the construction is done in the first place and what are the restrictions on the base Vector space.

I'm trying to see if I can use the on the n-dimensional split quaternions.
Thanks!
CM

 

[Greg Bernhardt]

Thanks for the post! Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?