From 2eb57d9d9487ef2533c177d2771a7c47b2528c4b Mon Sep 17 00:00:00 2001 From: Michael Orlitzky Date: Thu, 3 Dec 2020 12:52:15 -0500 Subject: [PATCH] eja: update a TODO with a better idea. --- mjo/eja/TODO | 4 +++- 1 file changed, 3 insertions(+), 1 deletion(-) diff --git a/mjo/eja/TODO b/mjo/eja/TODO index 9f80537..427a953 100644 --- a/mjo/eja/TODO +++ b/mjo/eja/TODO @@ -16,7 +16,9 @@ sage: F = J.base_ring() sage: a0 = (1/4)*X[4]**2*X[6]**2 - (1/2)*X[2]*X[5]*X[6]**2 - (1/2)*X[3]*X[4]*X[6]*X[7] + (F(2).sqrt()/2)*X[1]*X[5]*X[6]*X[7] + (1/4)*X[3]**2*X[7]**2 - (1/2)*X[0]*X[5]*X[7]**2 + (F(2).sqrt()/2)*X[2]*X[3]*X[6]*X[8] - (1/2)*X[1]*X[4]*X[6*X[8] - (1/2)*X[1]*X[3]*X[7]*X[8] + (F(2).sqrt()/2)*X[0]*X[4]*X[7]*X[8] + (1/4)*X[1]**2*X[8]**2 - (1/2)*X[0]*X[2]*X[8]**2 - (1/2)*X[2]*X[3]**2*X[9] + (F(2).sqrt()/2)*X[1]*X[3]*X[4]*X[9] - (1/2)*X[0]*X[4]**2*X[9] - (1/2)*X[1]**2*X[5]*X[9] + X[0]*X[2]*X[5]*X[9] 5. Compute the scalar in the general natural_inner_product() for - matrices, so no overrides are necessary. + matrices, so no overrides are necessary. Actually, this is + probably better implemented as a dimension_over_reals() method + that returns 1, 2, or 4. 6. The main EJA element constructor is happy to convert between e.g. HadamardEJA(3) and JordanSpinEJA(3). -- 2.43.2