ASKSAGE: Sage Q&A Forum - Latest question feedhttp://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Wed, 01 Sep 2010 13:09:04 -0500Structure constants for unitary groupshttp://ask.sagemath.org/question/7661/structure-constants-for-unitary-groups/I want to define a generalized cross product in sage such the a_i=f^{ijk} b_j c_k, where f^{ijk} are the structure constants of the SU(3) group. Are the structure constants for unitary group predefined is sage. If not what is the best way to define such a generalized cross product?
Thanks in advance.
Edit:
Sorry for not being clear about the question. As Mitesh rightly pointed out I am trying to do a High energy calculation. I have two eight dimensional vectors (say b and c). I want to define a generalized product of these two vectors as described in the original post. Here f are structure constants of SU(3) Lie algebra.
When I try the series of commands suggested by niles
gap> e6 := SimpleLieAlgebra("E",6,Rationals);
gap> StructureConstantsTable(Basis(e6));
I get a error in sage but it works if I open gap in a terminal. I think I can manage by copy pasting the results in sage.
Thanks a lot again for the help
ShashankWed, 01 Sep 2010 13:09:04 -0500http://ask.sagemath.org/question/7661/