X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo%2Feja%2Feuclidean_jordan_algebra.py;h=60a7ba1ede07bac242eb9aef6bcf9b722340c595;hb=9dfbf47227bdc9a7467e37e04173105fb3b2392b;hp=835f76337f9449612bcd113de950afd011317107;hpb=5fcc3b1bdec67eec2d76cc39c79a25af00830e30;p=sage.d.git

diff --git a/mjo/eja/euclidean_jordan_algebra.py b/mjo/eja/euclidean_jordan_algebra.py
index 835f763..60a7ba1 100644
--- a/mjo/eja/euclidean_jordan_algebra.py
+++ b/mjo/eja/euclidean_jordan_algebra.py
@@ -126,6 +126,30 @@ class FiniteDimensionalEuclideanJordanAlgebra(FiniteDimensionalAlgebra):
                 return A.element_class(A, (self.matrix()**(n-1))*self.vector())
 
 
+        def is_regular(self):
+            """
+            Return whether or not this is a regular element.
+
+            EXAMPLES:
+
+            The identity element always has degree one, but any element
+            linearly-independent from it is regular::
+
+                sage: J = eja_ln(5)
+                sage: J.one().is_regular()
+                False
+                sage: e0, e1, e2, e3, e4 = J.gens() # e0 is the identity
+                sage: for x in J.gens():
+                ....:     (J.one() + x).is_regular()
+                False
+                True
+                True
+                True
+                True
+
+            """
+            return self.degree() == self.parent().rank()
+
         def span_of_powers(self):
             """
             Return the vector space spanned by successive powers of