[sage-support] Re: Group action

2013-04-22 Thread Dima Pasechnik
On 2013-04-19, Simon King simon.k...@uni-jena.de wrote: Hi Johannes, On 2013-04-18, Johannes dajo.m...@web.de wrote: Hi guys, I have the following setting: Given a finite subgroup G of GL_\C(n) of order k, acting on C[x_1,...,x_n] by multiplication with (potenz of a ) k-th root of unity.

Re: [sage-support] Re: Group action

2013-04-22 Thread Johannes
yea, that's nearly what I am looking for. Is it possible to consider a weighted group action too? e.g. If \xi is of order n and \xi a n-th root of unity. g (p_1,\dots, p_n) \to (\xi^a_1 p1 , dots, \xi^a_n p_n)? s.t. \sum a_i = n? bg, Johannes On 19.04.2013 17:53, Simon King wrote: Hi Johannes,

Re: [sage-support] Re: Group action

2013-04-20 Thread Johannes
thnx, this looks nice. I'll have a deeper look at it in the next days. bg, Johannes On 19.04.2013 17:53, Simon King wrote: Hi Johannes, On 2013-04-18, Johannes dajo.m...@web.de wrote: Hi guys, I have the following setting: Given a finite subgroup G of GL_\C(n) of order k, acting on

[sage-support] Re: Group action

2013-04-19 Thread Simon King
Hi Johannes, On 2013-04-18, Johannes dajo.m...@web.de wrote: Hi guys, I have the following setting: Given a finite subgroup G of GL_\C(n) of order k, acting on C[x_1,...,x_n] by multiplication with (potenz of a ) k-th root of unity. What is the best way, to translate this setting to sage?

Re: [sage-support] Re: Group action

2012-05-15 Thread Nathann Cohen
One thing to watch out for is that the generators returned by automorphism_group contain symbols that may not be the actual vertices. I realised this once after several frustrating hours of bizarre results from my program. I'm not sure if this is still the case in recent versions. Yep. I

Re: [sage-support] Re: Group action

2012-05-15 Thread Mike Hansen
On Mon, May 14, 2012 at 11:20 PM, Nathann Cohen nathann.co...@gmail.com wrote: One thing to watch out for is that the generators returned by automorphism_group contain symbols that may not be the actual vertices. I realised this once after several frustrating hours of bizarre results from my

Re: [sage-support] Re: Group action

2012-05-15 Thread Nathann Cohen
Well, you can call GAP,  e.g. as follows: sage: gap(Orbit(+str(ag._gap_())+,[1,2,7],OnSets);) [ [ 1, 2, 7 ], [ 1, 2, 3 ], [ 1, 6, 9 ], [ 2, 3, 4 ], [ 3, 4, 10 ],   [ 1, 6, 8 ], [ 3, 4, 8 ], [ 4, 9, 10 ], [ 4, 7, 9 ], [ 5, 8, 10 ],   [ 2, 5, 7 ], [ 5, 6, 8 ], [ 3, 5, 8 ], [ 4, 6, 9 ], [ 5, 7,

[sage-support] Re: Group action

2012-05-14 Thread Dima Pasechnik
On Monday, 14 May 2012 16:57:40 UTC+2, Nathann Cohen wrote: Hellooo everybody !!! I would like to play with groups in Sage but I do not know how. I actually get my groups from a graph in the following way : sage: g = graphs.PetersenGraph() sage: ag = g.automorphism_group()

[sage-support] Re: Group action

2012-05-14 Thread Dima Pasechnik
On Tuesday, 15 May 2012 01:02:46 UTC+2, Dima Pasechnik wrote: On Monday, 14 May 2012 16:57:40 UTC+2, Nathann Cohen wrote: Hellooo everybody !!! I would like to play with groups in Sage but I do not know how. I actually get my groups from a graph in the following way : sage: g =

Re: [sage-support] Re: Group action

2012-05-14 Thread Emil
One thing to watch out for is that the generators returned by automorphism_group contain symbols that may not be the actual vertices. I realised this once after several frustrating hours of bizarre results from my program. I'm not sure if this is still the case in recent versions. Emil On 15