#15300: Weyl and Clifford Algebras
-------------------------------------+-------------------------------------
Reporter: tscrim | Owner: tscrim
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.4
Component: algebra | Resolution:
Keywords: days54 | Merged in:
Authors: Travis Scrimshaw | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
public/algebras/weyl_clifford-15300| 130d1498f68ae297e2298abc13265133f39eca8f
Dependencies: #16037 | Stopgaps:
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Comment (by jhpalmieri):
I might be able to finish the review, but I'm not sure. Meanwhile, a few
questions and comments:
- should there be a `weyl_algebra` (or similarly named) method for
polynomial rings, so this could be found by tab completion once you had a
polynomial ring `R`?
- should it be possible to do `W.<dx0, dx1, ...> =
DifferentialWeylAlgebra(R)`?
Some links are broken in clifford_algebra.py:
{{{
#!diff
diff --git a/src/sage/algebras/clifford_algebra.py
b/src/sage/algebras/clifford_algebra.py
index 7670255..15a305d 100644
--- a/src/sage/algebras/clifford_algebra.py
+++ b/src/sage/algebras/clifford_algebra.py
@@ -899,7 +899,7 @@ class CliffordAlgebra(CombinatorialFreeModule):
REFERENCES:
- - :wikipedia:`Classification_of_Clifford_algebras#Pseudoscalar`
+ -
:wikipedia:`Classification_of_Clifford_algebras#Unit_pseudoscalar`
"""
d = self._quadratic_form.dim()
return self.element_class(self, {tuple(range(d)):
self.base_ring().one()})
@@ -1113,7 +1113,7 @@ class CliffordAlgebra(CombinatorialFreeModule):
.. SEEALSO::
- :meth:`supercenter`,
+ :meth:`supercenter_basis`,
http://math.stackexchange.com/questions/129183/center-of-
clifford-algebra-depending-on-the-parity-of-d
.. TODO::
@@ -1203,7 +1203,7 @@ class CliffordAlgebra(CombinatorialFreeModule):
.. SEEALSO::
- :meth:`center`,
+ :meth:`center_basis`,
http://math.stackexchange.com/questions/129183/center-of-
clifford-algebra-depending-on-the-parity-of-d
.. TODO::
}}}
--
Ticket URL: <http://trac.sagemath.org/ticket/15300#comment:131>
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