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>Even in 3D GA, some mixed-grade elements are not invertible. This paper [1] claims to have inverses for general multivectors up to a certain dimension, but I'
by at_compile_time 2y ago
>Even in 3D GA, some mixed-grade elements are not invertible.
This paper [1] claims to have inverses for general multivectors up to a certain dimension, but I've never needed them and haven't dived into it. I'm curious what the applications would be for general multivectors, I've never come across them in practice.
1 - https://www.sciencedirect.com/science/article/abs/pii/S0096300317303259 https://www.sciencedirect.com/science/article/abs/pii/S00963...
- howling 2y agoThe paper's introduction says: we first establish algebraic product formulas for the direct computation of the Clifford product inverses of multivectors in Clifford algebras Cl(p, q), n = p + q \le 5, excluding the case of divisors of zero.