eja: factor out MatrixEJA initialization.

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

diff --git a/mjo/eja/eja_element.py b/mjo/eja/eja_element.py
index 6a48309499bce637cd039d4c8631ce451f890ff1..c98d9a2b64651562928a6489ef88e03fdd2b0dc9 100644 (file)
--- a/mjo/eja/eja_element.py
+++ b/mjo/eja/eja_element.py
@@ -389,7 +389,7 @@ class FiniteDimensionalEJAElement(IndexedFreeModuleElement):
             sage: (x*y).det() == x.det()*y.det()
             True
 
-        The determinant in matrix algebras is just the usual determinant::
+        The determinant in real matrix algebras is the usual determinant::
 
             sage: set_random_seed()
             sage: X = matrix.random(QQ,3)
@@ -404,21 +404,6 @@ class FiniteDimensionalEJAElement(IndexedFreeModuleElement):
             sage: actual2 == expected
             True
 
-        ::
-
-            sage: set_random_seed()
-            sage: J1 = ComplexHermitianEJA(2)
-            sage: J2 = ComplexHermitianEJA(2,field=QQ,orthonormalize=False)
-            sage: X = matrix.random(GaussianIntegers(), 2)
-            sage: X = X + X.H
-            sage: expected = AA(X.det())
-            sage: actual1 = J1(J1.real_embed(X)).det()
-            sage: actual2 = J2(J2.real_embed(X)).det()
-            sage: expected == actual1
-            True
-            sage: expected == actual2
-            True
-
         """
         P = self.parent()
         r = P.rank()
@@ -1098,12 +1083,13 @@ class FiniteDimensionalEJAElement(IndexedFreeModuleElement):
             sage: J.one()
             b0 + b3 + b8
             sage: J.one().to_matrix()
-            [1 0 0 0 0 0]
-            [0 1 0 0 0 0]
-            [0 0 1 0 0 0]
-            [0 0 0 1 0 0]
-            [0 0 0 0 1 0]
-            [0 0 0 0 0 1]
+            +---+---+---+
+            | 1 | 0 | 0 |
+            +---+---+---+
+            | 0 | 1 | 0 |
+            +---+---+---+
+            | 0 | 0 | 1 |
+            +---+---+---+
 
         ::