X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo%2Feja%2Feuclidean_jordan_algebra.py;h=802171fb0c4cc029c43d4fb4b17004d76bb938ed;hb=d08aa61e7c6adc5d6bed4c23797959c483b021bb;hp=5eb90fd45a03f1de6e826f8a985ef8dd701130c6;hpb=1d9dfc6c139733099cd7fdff1c5587cd0cc3ac63;p=sage.d.git

diff --git a/mjo/eja/euclidean_jordan_algebra.py b/mjo/eja/euclidean_jordan_algebra.py
index 5eb90fd..802171f 100644
--- a/mjo/eja/euclidean_jordan_algebra.py
+++ b/mjo/eja/euclidean_jordan_algebra.py
@@ -384,6 +384,7 @@ class FiniteDimensionalEuclideanJordanAlgebra(FiniteDimensionalAlgebra):
             Squaring in the subalgebra should be the same thing as
             squaring in the superalgebra::
 
+                sage: set_random_seed()
                 sage: J = eja_ln(5)
                 sage: x = J.random_element()
                 sage: u = x.subalgebra_generated_by().random_element()
@@ -640,8 +641,16 @@ def eja_sn(dimension, field=QQ):
     def mat2vec(m):
         return vector(field, m.list())
 
+    def vec2mat(v):
+        return matrix(field, dimension, v.list())
+
     W = V.span( mat2vec(s) for s in S )
 
+    # Taking the span above reorders our basis (thanks, jerk!) so we
+    # need to put our "matrix basis" in the same order as the
+    # (reordered) vector basis.
+    S = [ vec2mat(b) for b in W.basis() ]
+
     for s in S:
         # Brute force the multiplication-by-s matrix by looping
         # through all elements of the basis and doing the computation