#15300: Weyl and Clifford Algebras
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Reporter: tscrim | Owner: tscrim
Type: enhancement | Status: needs_review
Priority: major | Milestone: sage-6.2
Component: algebra | Resolution:
Keywords: days54 | Merged in:
Authors: Travis Scrimshaw | Reviewers:
Report Upstream: N/A | Work issues:
Branch: | Commit:
public/algebras/weyl_clifford-15300| a6a7206f3de8240b9783b8464c55f1ccb1d6cb4b
Dependencies: #16037 | Stopgaps:
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Comment (by jhpalmieri):
Replying to [comment:53 tscrim]:
> Replying to [comment:52 jhpalmieri]:
> > For the function `repr_from_monomials`, I wonder if `repr_lincomb`
(defined in `sage.misc.latex`) does kind of the same thing?
>
> As I recall, `repr_lincomb` doesn't have as nice of printing (IMO) as
`repr_from_monomials` with regard to spacing with the base ring being a
polynomial ring.
It seems like it would be better to fix `repr_lincomb` than to add new
code which reproduces a lot of its functionality. How should a user decide
which of these to use, if they're both available? But maybe I'm missing
something.
> > By the way, can you compute the centers of any of these algebras? If
so, having a method which returns it would be very nice.
>
> A counter question, do you want the honest center or the supercenter of
the Clifford/exterior algebra?
I meant the honest center. For exterior algebras, this is easy: it's the
evenly graded part. For Clifford algebras, these are finite dimensional,
so what happens if you try to solve the linear algebra problem (find all
solutions to `[x,-]=0` for all generators `x`)? You could try to do the
same with the supercenter.
--
Ticket URL: <http://trac.sagemath.org/ticket/15300#comment:58>
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