[sage-devel] Re: Exterior algebra (again)

2009-09-24 Thread Paul Leopardi


On Sep 24, 3:39 pm, Michael Brickenstein  wrote:
> Hi!
> On 23 Sep., 11:07, mmarco  wrote:
> > I have to do some computations in an exterior algebra, and i have seen
> > that it is not yet implemented in sage, but there is some work in that
> > direction. My question is: will this feature be implemented in sage
> > 4.1.2? If so, how complete will it be?.
>
> We have some ambitious plans for the week. I guess, as usually, the
> first version will not be complete. But we hope, to do the basic setup
> clean and to provide a clear way, how to add the missing pieces.
> Of course, we would welcome every help.

I'm also interested in exterior algebras, as well as Clifford algebra.
During Sage Days 10, I did a little work to try to integrate my GluCat
library ( http://glucat.sf.net ) into Sage, but only got as far as
having a working Cython interface ( http://wiki.sagemath.org/days10/CodingSprint
). What was missing was integration into the coercion system (
http://www.sagemath.org/doc/reference/coercion.html ). If/when you do
have exterior and Clifford algebras working, I'd very much like to
understand your coercion model. My model would have each Clifford
algebra R_{p,q} behave as if it was a subalgebra of the infinite
dimensional algebra R_{\infty,\infty}, and would have canonical
isomorphisms between R_{0,0} and R, R_{0,1} and C, and R_{0,2} and H.
Best, Paul



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[sage-devel] Re: Exterior algebra (again)

2009-09-23 Thread Michael Brickenstein


Hi!
On 23 Sep., 11:07, mmarco  wrote:
> I have to do some computations in an exterior algebra, and i have seen
> that it is not yet implemented in sage, but there is some work in that
> direction. My question is: will this feature be implemented in sage
> 4.1.2? If so, how complete will it be?.

We have some ambitious plans for the week. I guess, as usually, the
first version will not be complete. But we hope, to do the basic setup
clean and to provide a clear way, how to add the missing pieces.
Of course, we would welcome every help.
Cheers,
Michael
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[sage-devel] Re: Exterior algebra (again)

2009-09-23 Thread Oleksandr

Dear mmarco,

as far as i know Burcin and Michael started integrating noncommutative
Singular features
and in particular, graded commutative (e.g. supercommutative and
exterior) algebras into Sage
(http://trac.sagemath.org/sage_trac/ticket/4539).

Luckily there will be another meeting concerning this integration
soon.

Singular's noncommutative capabilities are described in the manual
here:
http://www.singular.uni-kl.de/Manual/latest/sing_356.htm#SEC397

Any feedback/requests/wishes/suggestions/possible user interface
design or example Sage sessions/etc
are greatly appreciated.

Some requests concerning supercommutative algebras were made by Simon
when this topic surfaced within another thread (at
http://groups.google.com/group/sage-devel/browse_thread/thread/497bfc40ea5f17b8?pli=1)

--
Best regards,
 Oleksandr


On Sep 23, 11:07 am, mmarco  wrote:
> I have to do some computations in an exterior algebra, and i have seen
> that it is not yet implemented in sage, but there is some work in that
> direction. My question is: will this feature be implemented in sage
> 4.1.2? If so, how complete will it be?. If no, any idea about when it
> will be?
>
> I have considered making my own (quick, dirty and hacky)
> implementation, but the news about it being worked on made me wait to
> see what happens.
>
> Best.
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