]> gitweb.michael.orlitzky.com - sage.d.git/commitdiff
eja: add new operator() method for elements that returns a morphism.
authorMichael Orlitzky <michael@orlitzky.com>
Fri, 26 Jul 2019 16:13:14 +0000 (12:13 -0400)
committerMichael Orlitzky <michael@orlitzky.com>
Mon, 29 Jul 2019 03:19:01 +0000 (23:19 -0400)
mjo/eja/euclidean_jordan_algebra.py

index fcaf10032ebf10885e047a55114fe0506235531b..72e167e6811912c3b19a71b27432d052800d3051 100644 (file)
@@ -1074,6 +1074,30 @@ class FiniteDimensionalEuclideanJordanAlgebra(FiniteDimensionalAlgebra):
             return W.linear_combination(zip(self.vector(), B))
 
 
+        def operator(self):
+            """
+            Return the left-multiplication-by-this-element
+            operator on the ambient algebra.
+
+            TESTS::
+
+                sage: set_random_seed()
+                sage: J = random_eja()
+                sage: x = J.random_element()
+                sage: y = J.random_element()
+                sage: x.operator()(y) == x*y
+                True
+                sage: y.operator()(x) == x*y
+                True
+
+            """
+            P = self.parent()
+            return FiniteDimensionalEuclideanJordanAlgebraMorphism(
+                     Hom(P,P),
+                     self.operator_matrix() )
+
+
+
         def operator_matrix(self):
             """
             Return the matrix that represents left- (or right-)