X-Git-Url: http://gitweb.michael.orlitzky.com/?a=blobdiff_plain;f=mjo%2Feja%2Feuclidean_jordan_algebra.py;h=c83c78056a2774a01400fbb76381a5b9d7352c15;hb=4f9b2bd453c2895f1798139f82926b7ac487492d;hp=0a53667c36284d3a07a218f30e37fae8334861a9;hpb=486601c8b12cc184da19c7540011b88ee1f26282;p=sage.d.git diff --git a/mjo/eja/euclidean_jordan_algebra.py b/mjo/eja/euclidean_jordan_algebra.py index 0a53667..c83c780 100644 --- a/mjo/eja/euclidean_jordan_algebra.py +++ b/mjo/eja/euclidean_jordan_algebra.py @@ -745,6 +745,17 @@ def RealSymmetricSimpleEJA(n, field=QQ): e0 + e2 sage: e2*e2 e2 + + TESTS: + + The degree of this algebra is `(n^2 + n) / 2`:: + + sage: set_random_seed() + sage: n = ZZ.random_element(1,5).abs() + sage: J = RealSymmetricSimpleEJA(n) + sage: J.degree() == (n^2 + n)/2 + True + """ S = _real_symmetric_basis(n, field=field) Qs = _multiplication_table_from_matrix_basis(S)