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A comment on What is the inverse of a vector?. Parent comment

Re:What is the inverse of a vector? by contravariant on Wednesday November 03, 2021 @05:35AM (#29092578)
Is there some canonical metric on Lie algebras that makes this possible? Otherwise geometric algebra won't get you far.
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Re:What is the inverse of a vector? by enkimute on Wednesday November 03, 2021 @06:04AM (#29092712)
Every Lie algebra is a bivector algebra (see 'Lie groups as Spin groups' 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_Sy...).

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