From 7bb608efc474092b1c26286924c8d91a1bf51aaa Mon Sep 17 00:00:00 2001 From: Michael Orlitzky Date: Sun, 28 Feb 2021 22:20:13 -0500 Subject: [PATCH] eja: update the TODO. --- mjo/eja/TODO | 8 +++++++- 1 file changed, 7 insertions(+), 1 deletion(-) diff --git a/mjo/eja/TODO b/mjo/eja/TODO index 90a49d3..f27df9c 100644 --- a/mjo/eja/TODO +++ b/mjo/eja/TODO @@ -2,7 +2,8 @@ 2. Add references and start citing them. -3. Implement the octonion simple EJA. +3. Implement the octonion simple EJA. We don't actually need octonions + for this to work, only their real embedding (some 8x8 monstrosity). 4. Pre-cache charpoly for some small algebras? @@ -14,3 +15,8 @@ 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 5. Profile the construction of "large" matrix algebras (like the 15-dimensional QuaternionHermitianAlgebra(3)) to find out why they're so slow. + +6. Instead of storing a basis multiplication matrix, just make + product_on_basis() a cached method and manually cache its + entries. The cython cached method lookup should be faster than a + python-based matrix lookup anyway. -- 2.43.2