[sage-devel] Re: Idea solicitation for semester-long algebra project

2009-03-01 Thread David Kohel
Implementing Florian Hess' article in Sage would be vey welcome, and I'm sure that Florian (or I for that matter) would be happy to given input. --David --~--~-~--~~~---~--~~ To post to this group, send email to sage-devel@googlegroups.com To unsubscribe from this

[sage-devel] Re: Idea solicitation for semester-long algebra project

2009-03-01 Thread Simon King
Dear Francisco, On 28 Feb., 19:38, Francisco Veach wrote: ... > I'm of course still interested in hearing more > suggestions, and I appreciate the ones that have already come in so > far. There is something that I would like to use in my work: Symmetric Ideals in a polynomial ring R with counta

[sage-devel] Re: Idea solicitation for semester-long algebra project

2009-02-28 Thread Francisco Veach
Thanks very much for this article. The implementation of this algorithm is a good candidate for the semester project, and the other recommendations look like excellent mini-projects to acquaint myself with the system. I'm of course still interested in hearing more suggestions, and I appreciate the

[sage-devel] Re: Idea solicitation for semester-long algebra project

2009-02-27 Thread William Stein
On Sat, Feb 28, 2009 at 1:08 AM, Kwankyu wrote: > > Regarding (2),  you may start with Florian Hess' paper "Computing > Riemann-Roch spaces in algebraic function fields and related topics" > in the Journal of Symbolic Computation, vol 11, 2001, which describes > an algorithm, which, I guess, is i

[sage-devel] Re: Idea solicitation for semester-long algebra project

2009-02-27 Thread Kwankyu
Regarding (2), you may start with Florian Hess' paper "Computing Riemann-Roch spaces in algebraic function fields and related topics" in the Journal of Symbolic Computation, vol 11, 2001, which describes an algorithm, which, I guess, is implemented in Magma. --~--~-~--~~~-

[sage-devel] Re: Idea solicitation for semester-long algebra project

2009-02-27 Thread Ronan Paixão
I'm not a mathematician, but a good idea could be improving Piecewise functions. Ronan Em Qua, 2009-02-25 às 14:38 -0600, Francisco Veach escreveu: > I'm planning a semester-long project for the fall that will involve > implementing/improving algebra related functions of Sage. I'm taking > this

[sage-devel] Re: Idea solicitation for semester-long algebra project

2009-02-25 Thread David Joyner
On Wed, Feb 25, 2009 at 4:34 PM, Rob Beezer wrote: > > Francisco, > > When I work with undergraduate students, I stick to permutation groups > in Sage since they are more concrete.  When you compute a quotient > group what you get back is a permutation group that is isomorphic to > the quotient,

[sage-devel] Re: Idea solicitation for semester-long algebra project

2009-02-25 Thread Rob Beezer
Francisco, When I work with undergraduate students, I stick to permutation groups in Sage since they are more concrete. When you compute a quotient group what you get back is a permutation group that is isomorphic to the quotient, e.g. G=SymmetricGroup(5) H=AlternatingGroup(5) G.quotient_group

[sage-devel] Re: Idea solicitation for semester-long algebra project

2009-02-25 Thread David Joyner
A couple of ideas: (1) I think group rings are only partially implemented. In other words, if R is a commutative ring, such as ZZ or a finite field say, and G is a finite group, implement more methods for R[G]. There aren't many methods implemented for it yet (these would be useful for coding the

[sage-devel] Re: Idea solicitation for semester-long algebra project

2009-02-25 Thread William Stein
On Wed, Feb 25, 2009 at 12:38 PM, Francisco Veach wrote: > > I'm planning a semester-long project for the fall that will involve > implementing/improving algebra related functions of Sage. I'm taking > this time now and in the summer to familiarize myself with the > internals so that I can have a