eja: fix tests and pre-cache ranks.

[sage.d.git] / mjo / eja / eja_subalgebra.py

diff --git a/mjo/eja/eja_subalgebra.py b/mjo/eja/eja_subalgebra.py
index 0be85616678d4f7f7ffa276ddcd13ab907c6e116..045c16e7ed691532e016c89192a43903bc0cc7ce 100644 (file)
--- a/mjo/eja/eja_subalgebra.py
+++ b/mjo/eja/eja_subalgebra.py
@@ -95,9 +95,9 @@ class FiniteDimensionalEuclideanJordanSubalgebra(FiniteDimensionalEuclideanJorda
     matrices do not contain the superalgebra's identity element::
 
         sage: J = RealSymmetricEJA(2)
-        sage: E11 = matrix(QQ, [ [1,0],
+        sage: E11 = matrix(AA, [ [1,0],
         ....:                    [0,0] ])
-        sage: E22 = matrix(QQ, [ [0,0],
+        sage: E22 = matrix(AA, [ [0,0],
         ....:                    [0,1] ])
         sage: K1 = FiniteDimensionalEuclideanJordanSubalgebra(J, (J(E11),))
         sage: K1.one().natural_representation()
@@ -130,7 +130,7 @@ class FiniteDimensionalEuclideanJordanSubalgebra(FiniteDimensionalEuclideanJorda
         1
 
     """
-    def __init__(self, superalgebra, basis, rank=None, category=None):
+    def __init__(self, superalgebra, basis, category=None):
         self._superalgebra = superalgebra
         V = self._superalgebra.vector_space()
         field = self._superalgebra.base_ring()
@@ -175,12 +175,11 @@ class FiniteDimensionalEuclideanJordanSubalgebra(FiniteDimensionalEuclideanJorda
 
 
         fdeja = super(FiniteDimensionalEuclideanJordanSubalgebra, self)
-        return fdeja.__init__(field,
-                              mult_table,
-                              rank,
-                              prefix=prefix,
-                              category=category,
-                              natural_basis=natural_basis)
+        fdeja.__init__(field,
+                       mult_table,
+                       prefix=prefix,
+                       category=category,
+                       natural_basis=natural_basis)
 
 
 
@@ -198,7 +197,7 @@ class FiniteDimensionalEuclideanJordanSubalgebra(FiniteDimensionalEuclideanJorda
         EXAMPLES::
 
             sage: J = RealSymmetricEJA(3)
-            sage: X = matrix(QQ, [ [0,0,1],
+            sage: X = matrix(AA, [ [0,0,1],
             ....:                  [0,1,0],
             ....:                  [1,0,0] ])
             sage: x = J(X)
@@ -215,8 +214,12 @@ class FiniteDimensionalEuclideanJordanSubalgebra(FiniteDimensionalEuclideanJorda
         if elt not in self.superalgebra():
             raise ValueError("not an element of this subalgebra")
 
-        coords = self.vector_space().coordinate_vector(elt.to_vector())
-        return self.from_vector(coords)
+        # The extra hackery is because foo.to_vector() might not
+        # live in foo.parent().vector_space()!
+        coords = sum( a*b for (a,b)
+                          in zip(elt.to_vector(),
+                                 self.superalgebra().vector_space().basis()) )
+        return self.from_vector(self.vector_space().coordinate_vector(coords))
 
 
 
@@ -249,10 +252,10 @@ class FiniteDimensionalEuclideanJordanSubalgebra(FiniteDimensionalEuclideanJorda
         EXAMPLES::
 
             sage: J = RealSymmetricEJA(3)
-            sage: E11 = matrix(QQ, [ [1,0,0],
+            sage: E11 = matrix(ZZ, [ [1,0,0],
             ....:                    [0,0,0],
             ....:                    [0,0,0] ])
-            sage: E22 = matrix(QQ, [ [0,0,0],
+            sage: E22 = matrix(ZZ, [ [0,0,0],
             ....:                    [0,1,0],
             ....:                    [0,0,0] ])
             sage: b1 = J(E11)