X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo%2Feja%2Feja_algebra.py;h=d1658c2fba1aaf43e1115dee500bfd6b9c3602ac;hb=f420787bd1cc7bfb467d31b5a1581e985434fb31;hp=3f2127d7df9b811a599ba1da01b7b100ab0a5573;hpb=d875b32c8b9063a501b4387af357bd7a9f21633e;p=sage.d.git

diff --git a/mjo/eja/eja_algebra.py b/mjo/eja/eja_algebra.py
index 3f2127d..d1658c2 100644
--- a/mjo/eja/eja_algebra.py
+++ b/mjo/eja/eja_algebra.py
@@ -21,7 +21,6 @@ from sage.rings.number_field.number_field import NumberField, QuadraticField
 from sage.rings.polynomial.polynomial_ring_constructor import PolynomialRing
 from sage.rings.rational_field import QQ
 from sage.rings.real_lazy import CLF, RLF
-from sage.structure.element import is_Matrix
 
 from mjo.eja.eja_element import FiniteDimensionalEuclideanJordanAlgebraElement
 from mjo.eja.eja_utils import _mat2vec
@@ -406,8 +405,8 @@ class FiniteDimensionalEuclideanJordanAlgebra(CombinatorialFreeModule):
 
         EXAMPLES:
 
-        Our inner product satisfies the Jordan axiom, which is also
-        referred to as "associativity" for a symmetric bilinear form::
+        Our inner product is "associative," which means the following for
+        a symmetric bilinear form::
 
             sage: set_random_seed()
             sage: J = random_eja()
@@ -1256,7 +1255,7 @@ class ComplexMatrixEuclideanJordanAlgebra(MatrixEuclideanJordanAlgebra):
         if not n.mod(2).is_zero():
             raise ValueError("the matrix 'M' must be a complex embedding")
 
-        field = M.base_ring() # This should already have sqrt2
+        field = QQ
         R = PolynomialRing(field, 'z')
         z = R.gen()
         F = NumberField(z**2 + 1,'i', embedding=CLF(-1).sqrt())
@@ -1396,7 +1395,7 @@ class ComplexHermitianEJA(ComplexMatrixEuclideanJordanAlgebra, KnownRankEJA):
             True
 
         """
-        R = PolynomialRing(field, 'z')
+        R = PolynomialRing(QQ, 'z')
         z = R.gen()
         F = NumberField(z**2 + 1, 'I', embedding=CLF(-1).sqrt())
         I = F.gen()
@@ -1705,7 +1704,10 @@ class QuaternionHermitianEJA(QuaternionMatrixEuclideanJordanAlgebra,
                     S.append(Sij_J)
                     Sij_K = cls.real_embed(K*Eij - K*Eij.transpose())
                     S.append(Sij_K)
-        return S
+
+        # Since we embedded these, we can drop back to the "field" that we
+        # started with instead of the quaternion algebra "Q".
+        return ( s.change_ring(field) for s in S )
 
 
     def __init__(self, n, field=QQ, **kwargs):