]> gitweb.michael.orlitzky.com - sage.d.git/commitdiff
eja: fix the rank of the spin factor algebra.
authorMichael Orlitzky <michael@orlitzky.com>
Tue, 25 Jun 2019 03:10:37 +0000 (23:10 -0400)
committerMichael Orlitzky <michael@orlitzky.com>
Mon, 29 Jul 2019 03:18:49 +0000 (23:18 -0400)
mjo/eja/euclidean_jordan_algebra.py

index 849243c81d56a2781a8b0abe5c9e6ae795f264eb..1f037688eee6f0f2931ef5ba311de0a96da6cea0 100644 (file)
@@ -317,4 +317,8 @@ def eja_ln(dimension, field=QQ):
         Qi[0,0] = Qi[0,0] * ~field(2)
         Qs.append(Qi)
 
-    return FiniteDimensionalEuclideanJordanAlgebra(field,Qs,rank=2)
+    # The rank of the spin factor algebra is two, UNLESS we're in a
+    # one-dimensional ambient space (the rank is bounded by the
+    # ambient dimension).
+    rank = min(dimension,2)
+    return FiniteDimensionalEuclideanJordanAlgebra(field,Qs,rank=rank)