This works:
S = LieAlgebra(QQ, 10, step=3, names='X', naming='linear')
and this works:
S = LieAlgebra(QQ, 11, step=2, names='X', naming='linear')
but this doesn't work:
S = LieAlgebra(QQ, 11, step=3, names='X', naming='linear')
though it should?
Traceback:
---------------------------------------------------------------------------
AttributeError Traceback (most recent call last)
<ipython-input-79-8672234ea66b> in <module>()
----> 1 S = LieAlgebra(QQ, Integer(11), step=Integer(3), names='X', naming='linear')
/opt/sagemath-8.4/local/lib/python2.7/site-packages/sage/misc/classcall_metaclass.pyx in sage.misc.classcall_metaclass.ClasscallMetaclass.__call__ (build/cythonized/sage/misc/classcall_metaclass.c:1640)()
327 """
328 if cls.classcall is not None:
--> 329 return cls.classcall(cls, *args, **kwds)
330 else:
331 # Fast version of type.__call__(cls, *args, **kwds)
/opt/sagemath-8.4/local/lib/python2.7/site-packages/sage/algebras/lie_algebras/lie_algebra.pyc in __classcall_private__(cls, R, arg0, arg1, names, index_set, abelian, nilpotent, category, **kwds)
439 from sage.algebras.lie_algebras.nilpotent_lie_algebra import FreeNilpotentLieAlgebra
440 del kwds["step"]
--> 441 return FreeNilpotentLieAlgebra(R, arg1, step, names=names, **kwds)
442 elif nilpotent:
443 raise ValueError("free nilpotent Lie algebras must have a"
/opt/sagemath-8.4/local/lib/python2.7/site-packages/sage/misc/classcall_metaclass.pyx in sage.misc.classcall_metaclass.ClasscallMetaclass.__call__ (build/cythonized/sage/misc/classcall_metaclass.c:1640)()
327 """
328 if cls.classcall is not None:
--> 329 return cls.classcall(cls, *args, **kwds)
330 else:
331 # Fast version of type.__call__(cls, *args, **kwds)
/opt/sagemath-8.4/local/lib/python2.7/site-packages/sage/algebras/lie_algebras/nilpotent_lie_algebra.pyc in __classcall_private__(cls, R, r, s, names, naming, category, **kwds)
325 return super(FreeNilpotentLieAlgebra, cls).__classcall__(
326 cls, R,r, s, names=tuple(names), naming=naming,
--> 327 category=category, **kwds)
328
329 def __init__(self, R, r, s, names, naming, category, **kwds):
/opt/sagemath-8.4/local/lib/python2.7/site-packages/sage/misc/cachefunc.pyx in sage.misc.cachefunc.CachedFunction.__call__ (build/cythonized/sage/misc/cachefunc.c:6301)()
1003 return self.cache[k]
1004 except KeyError:
-> 1005 w = self.f(*args, **kwds)
1006 self.cache[k] = w
1007 return w
/opt/sagemath-8.4/local/lib/python2.7/site-packages/sage/structure/unique_representation.py in __classcall__(cls, *args, **options)
1025 True
1026 """
-> 1027 instance = typecall(cls, *args, **options)
1028 assert isinstance( instance, cls )
1029 if instance.__class__.__reduce__ == CachedRepresentation.__reduce__:
/opt/sagemath-8.4/local/lib/python2.7/site-packages/sage/misc/classcall_metaclass.pyx in sage.misc.classcall_metaclass.typecall (build/cythonized/sage/misc/classcall_metaclass.c:2090)()
494 TypeError: Argument 'cls' has incorrect type (expected type, got classobj)
495 """
--> 496 return (<PyTypeObject*>type).tp_call(cls, args, kwds)
497
498 # Class for timing::
/opt/sagemath-8.4/local/lib/python2.7/site-packages/sage/algebras/lie_algebras/nilpotent_lie_algebra.pyc in __init__(self, R, r, s, names, naming, category, **kwds)
398 for X_ind, X in basis_by_deg[dx]:
399 for Y_ind, Y in basis_by_deg[dy]:
--> 400 Z = L[X, Y]
401 if not Z.is_zero():
402 s_coeff[(X_ind, Y_ind)] = {W_ind: Z[W.leading_support()]
/opt/sagemath-8.4/local/lib/python2.7/site-packages/sage/algebras/lie_algebras/lie_algebra.pyc in __getitem__(self, x)
573 return x[1].ideal(x[0])
574 # Otherwise it is the bracket of two elements
--> 575 return self(x[0])._bracket_(self(x[1]))
576 return super(LieAlgebra, self).__getitem__(x)
577
/opt/sagemath-8.4/local/lib/python2.7/site-packages/sage/algebras/lie_algebras/lie_algebra_element.pyx in sage.algebras.lie_algebras.lie_algebra_element.FreeLieAlgebraElement._bracket_ (build/cythonized/sage/algebras/lie_algebras/lie_algebra_element.c:19132)()
1452 a, b = mr, ml
1453 cr = -cr
-> 1454 for b_elt, coeff in self.parent()._rewrite_bracket(a, b).iteritems():
1455 d[b_elt] = d.get(b_elt, zero) + cl * cr * coeff
1456 if d[b_elt] == zero:
/opt/sagemath-8.4/local/lib/python2.7/site-packages/sage/misc/cachefunc.pyx in sage.misc.cachefunc.CachedMethodCaller.__call__ (build/cythonized/sage/misc/cachefunc.c:10824)()
1951 return cache[k]
1952 except KeyError:
-> 1953 w = self._instance_call(*args, **kwds)
1954 cache[k] = w
1955 return w
/opt/sagemath-8.4/local/lib/python2.7/site-packages/sage/misc/cachefunc.pyx in sage.misc.cachefunc.CachedMethodCaller._instance_call (build/cythonized/sage/misc/cachefunc.c:10280)()
1827 True
1828 """
-> 1829 return self.f(self._instance, *args, **kwds)
1830
1831 cdef fix_args_kwds(self, tuple args, dict kwds):
/opt/sagemath-8.4/local/lib/python2.7/site-packages/sage/algebras/lie_algebras/free_lie_algebra.pyc in _rewrite_bracket(self, l, r)
690 # For a similar reason, we have b >= c.
691 # Compute the left summand
--> 692 for m, inner_coeff in iteritems(self._rewrite_bracket(l._right, r)):
693 if l._left == m:
694 continue
AttributeError: 'sage.algebras.lie_algebras.lie_algebra_element.Lie' object has no attribute '_right'