eja: rename MatrixEJA to HermitianMatrixEJA.

There are also algebras of skew-Hermitian matrices, so the name was
not great.

diff --git a/mjo/eja/eja_algebra.py b/mjo/eja/eja_algebra.py
index 1ccbf2e302e7cd43ae1877e3fda6fdcaa3f5e5de..b76c5fc21363501a3c47101bd254f37166e45281 100644 (file)
--- a/mjo/eja/eja_algebra.py
+++ b/mjo/eja/eja_algebra.py
@@ -1929,11 +1929,11 @@ class ConcreteEJA(FiniteDimensionalEJA):
         return eja_class.random_instance(max_dimension, *args, **kwargs)
 
 
-class MatrixEJA(FiniteDimensionalEJA):
+class HermitianMatrixEJA(FiniteDimensionalEJA):
     @staticmethod
     def _denormalized_basis(A):
         """
-        Returns a basis for the space of complex Hermitian n-by-n matrices.
+        Returns a basis for the given Hermitian matrix space.
 
         Why do we embed these? Basically, because all of numerical linear
         algebra assumes that you're working with vectors consisting of `n`
@@ -1946,13 +1946,13 @@ class MatrixEJA(FiniteDimensionalEJA):
             sage: from mjo.hurwitz import (ComplexMatrixAlgebra,
             ....:                          QuaternionMatrixAlgebra,
             ....:                          OctonionMatrixAlgebra)
-            sage: from mjo.eja.eja_algebra import MatrixEJA
+            sage: from mjo.eja.eja_algebra import HermitianMatrixEJA
 
         TESTS::
 
             sage: n = ZZ.random_element(1,5)
             sage: A = MatrixSpace(QQ, n)
-            sage: B = MatrixEJA._denormalized_basis(A)
+            sage: B = HermitianMatrixEJA._denormalized_basis(A)
             sage: all( M.is_hermitian() for M in  B)
             True
 
@@ -1960,7 +1960,7 @@ class MatrixEJA(FiniteDimensionalEJA):
 
             sage: n = ZZ.random_element(1,5)
             sage: A = ComplexMatrixAlgebra(n, scalars=QQ)
-            sage: B = MatrixEJA._denormalized_basis(A)
+            sage: B = HermitianMatrixEJA._denormalized_basis(A)
             sage: all( M.is_hermitian() for M in  B)
             True
 
@@ -1968,7 +1968,7 @@ class MatrixEJA(FiniteDimensionalEJA):
 
             sage: n = ZZ.random_element(1,5)
             sage: A = QuaternionMatrixAlgebra(n, scalars=QQ)
-            sage: B = MatrixEJA._denormalized_basis(A)
+            sage: B = HermitianMatrixEJA._denormalized_basis(A)
             sage: all( M.is_hermitian() for M in B )
             True
 
@@ -1976,7 +1976,7 @@ class MatrixEJA(FiniteDimensionalEJA):
 
             sage: n = ZZ.random_element(1,5)
             sage: A = OctonionMatrixAlgebra(n, scalars=QQ)
-            sage: B = MatrixEJA._denormalized_basis(A)
+            sage: B = HermitianMatrixEJA._denormalized_basis(A)
             sage: all( M.is_hermitian() for M in B )
             True
 
@@ -2081,7 +2081,7 @@ class MatrixEJA(FiniteDimensionalEJA):
         self.rank.set_cache(matrix_space.nrows())
         self.one.set_cache( self(matrix_space.one()) )
 
-class RealSymmetricEJA(MatrixEJA, RationalBasisEJA, ConcreteEJA):
+class RealSymmetricEJA(HermitianMatrixEJA, RationalBasisEJA, ConcreteEJA):
     """
     The rank-n simple EJA consisting of real symmetric n-by-n
     matrices, the usual symmetric Jordan product, and the trace inner
@@ -2173,7 +2173,7 @@ class RealSymmetricEJA(MatrixEJA, RationalBasisEJA, ConcreteEJA):
 
 
 
-class ComplexHermitianEJA(MatrixEJA, RationalBasisEJA, ConcreteEJA):
+class ComplexHermitianEJA(HermitianMatrixEJA, RationalBasisEJA, ConcreteEJA):
     """
     The rank-n simple EJA consisting of complex Hermitian n-by-n
     matrices over the real numbers, the usual symmetric Jordan product,
@@ -2272,7 +2272,7 @@ class ComplexHermitianEJA(MatrixEJA, RationalBasisEJA, ConcreteEJA):
         return cls(n, **kwargs)
 
 
-class QuaternionHermitianEJA(MatrixEJA, RationalBasisEJA, ConcreteEJA):
+class QuaternionHermitianEJA(HermitianMatrixEJA, RationalBasisEJA, ConcreteEJA):
     r"""
     The rank-n simple EJA consisting of self-adjoint n-by-n quaternion
     matrices, the usual symmetric Jordan product, and the
@@ -2360,7 +2360,7 @@ class QuaternionHermitianEJA(MatrixEJA, RationalBasisEJA, ConcreteEJA):
         n = ZZ.random_element(max_size + 1)
         return cls(n, **kwargs)
 
-class OctonionHermitianEJA(MatrixEJA, RationalBasisEJA, ConcreteEJA):
+class OctonionHermitianEJA(HermitianMatrixEJA, RationalBasisEJA, ConcreteEJA):
     r"""
     SETUP::