Rob Arthan science forum beginner
Joined: 26 Jul 2005
Posts: 6

Posted: Fri Jul 14, 2006 4:47 pm Post subject:
Inverses in Geometric Algebra



I am trying to understand inverses in geometric algebra. Some works say the
inverse of a multivector, A say, is given by reverse(A)/norm(A)^2, but that
only works in low dimensions. E.g., if I write, e.g., E123 for e_1e_2e_3,
then in GA(5, 0), I find:
(E123 + E124 + E145)*(E321 + E421 + E541) = 3  2*E2345
which isn't a scalar. In this you can get an inverse using
(3  2*E2345)(3 + 2*E2345) = 5
Any pointers appreciated.
Regards,
Rob. 
