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Inverses in Geometric Algebra
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Rob Arthan
science forum beginner


Joined: 26 Jul 2005
Posts: 6

PostPosted: Fri Jul 14, 2006 4:47 pm    Post subject: Inverses in Geometric Algebra Reply with quote

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.
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