From 37b994d59056fc4adb9d42f3a0d2dcc5ca6d6d56 Mon Sep 17 00:00:00 2001 From: Michael Orlitzky Date: Thu, 29 Aug 2019 20:13:36 -0400 Subject: [PATCH] eja: fix ComplexHermitianEJA over AA and RR. --- mjo/eja/eja_algebra.py | 22 +++++++++++++++++----- 1 file changed, 17 insertions(+), 5 deletions(-) diff --git a/mjo/eja/eja_algebra.py b/mjo/eja/eja_algebra.py index 515e25f..359b740 100644 --- a/mjo/eja/eja_algebra.py +++ b/mjo/eja/eja_algebra.py @@ -1223,15 +1223,17 @@ class ComplexMatrixEuclideanJordanAlgebra(MatrixEuclideanJordanAlgebra): n = M.nrows() if M.ncols() != n: raise ValueError("the matrix 'M' must be square") - field = M.base_ring() + + # We don't need any adjoined elements... + field = M.base_ring().base_ring() + blocks = [] for z in M.list(): - a = z.vector()[0] # real part, I guess - b = z.vector()[1] # imag part, I guess + a = z.list()[0] # real part, I guess + b = z.list()[1] # imag part, I guess blocks.append(matrix(field, 2, [[a,b],[-b,a]])) - # We can drop the imaginaries here. - return matrix.block(field.base_ring(), n, blocks) + return matrix.block(field, n, blocks) @staticmethod @@ -1338,6 +1340,16 @@ class ComplexHermitianEJA(ComplexMatrixEuclideanJordanAlgebra, KnownRankEJA): sage: from mjo.eja.eja_algebra import ComplexHermitianEJA + EXAMPLES: + + In theory, our "field" can be any subfield of the reals:: + + sage: ComplexHermitianEJA(2,AA) + Euclidean Jordan algebra of dimension 4 over Algebraic Real Field + sage: ComplexHermitianEJA(2,RR) + Euclidean Jordan algebra of dimension 4 over Real Field with + 53 bits of precision + TESTS: The dimension of this algebra is `n^2`:: -- 2.43.2