X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo%2Feja%2Feja_operator.py;h=a8beed662e1a700f2146f1dc9f0940857b9339ec;hb=1d6c0d98ea24be9bcfec236ad94d6d125dabd8f4;hp=4d24b35c5d902f0dbd2824242a88be614d45562e;hpb=3940dadefa5ede86fd81917ace7d145e4d3f0da9;p=sage.d.git diff --git a/mjo/eja/eja_operator.py b/mjo/eja/eja_operator.py index 4d24b35..a8beed6 100644 --- a/mjo/eja/eja_operator.py +++ b/mjo/eja/eja_operator.py @@ -239,8 +239,8 @@ class FiniteDimensionalEJAOperator(Map): We can scale an operator on a rational algebra by a rational number:: sage: J = RealSymmetricEJA(2) - sage: e0,e1,e2 = J.gens() - sage: x = 2*e0 + 4*e1 + 16*e2 + sage: b0,b1,b2 = J.gens() + sage: x = 2*b0 + 4*b1 + 16*b2 sage: x.operator() Linear operator between finite-dimensional Euclidean Jordan algebras represented by the matrix: @@ -470,7 +470,6 @@ class FiniteDimensionalEJAOperator(Map): The left-multiplication-by-zero operation on a given algebra is its zero map:: - sage: set_random_seed() sage: J = random_eja() sage: J.zero().operator().is_zero() True @@ -510,7 +509,6 @@ class FiniteDimensionalEJAOperator(Map): The identity operator is its own inverse:: - sage: set_random_seed() sage: J = random_eja() sage: idJ = J.one().operator() sage: idJ.inverse() == idJ @@ -518,7 +516,6 @@ class FiniteDimensionalEJAOperator(Map): The inverse of the inverse is the operator we started with:: - sage: set_random_seed() sage: x = random_eja().random_element() sage: L = x.operator() sage: not L.is_invertible() or (L.inverse().inverse() == L) @@ -561,14 +558,12 @@ class FiniteDimensionalEJAOperator(Map): The identity operator is always invertible:: - sage: set_random_seed() sage: J = random_eja() sage: J.one().operator().is_invertible() True The zero operator is never invertible in a nontrivial algebra:: - sage: set_random_seed() sage: J = random_eja() sage: not J.is_trivial() and J.zero().operator().is_invertible() False