3 ms·
Is there some canonical metric on Lie algebras that makes this possible? Otherwise geometric algebra won't get you far.
by contravariant 5y ago
Is there some canonical metric on Lie algebras that makes this possible? Otherwise geometric algebra won't get you far.
- enkimute 5y agoEvery Lie algebra is a bivector algebra (see 'Lie groups as Spin groups' http://geocalc.clas.asu.edu/pdf/LGasSG.pdf http://geocalc.clas.asu.edu/pdf/LGasSG.pdf). Additionally the GA formalism enables closed form solutions for the exponential map for all bivector algebras. (see 'Graded symmetry Groups' https://www.researchgate.net/publication/353116859_Graded_Symmetry_Groups_Plane_and_Simple/ https://www.researchgate.net/publication/353116859_Graded_Sy...).