Pinging @krastanov
On Sun, Feb 2, 2014 at 9:07 AM, Alan Bromborsky <[email protected]> wrote: > I don't think abstract tensors (index quantities) are a good fit with > differential geometry. A better approach is multlinear algebra as > developed in "Multilinear Algebra" by Werener Greub in which tensor > algebra, exterior algebra, and Clifford algebra are all developed on an > equal footing. In terms of Clifford algebra a spinor is the sum of a > scalar and a bivector (equivalent to antisymmetric rank-2 tensor), a > concept which is not in differential forms. > > > > On 02/02/2014 10:23 AM, F. B. wrote: > > > > On Sunday, February 2, 2014 1:58:52 PM UTC+1, brombo wrote: >> >> Currently I am rewriting the geometric algebra (Clifford algebra) and >> calculus module for sympy again. Current work is being kept separately at >> github.com/brombo/GA for now. You may want to look at tensor sections >> in the "GA Notes" and "LaTeX docs" directories. >> > > I had a glimpse at it, but that does not solve my problem (did I miss > something?). > > My idea is to extend the tensor product to vectors and one-forms of > different manifolds, so a tensor like the gamma matrices can have a > differential geometric interpretation. I'm just not sure that this approach > is correct. > -- > You received this message because you are subscribed to the Google Groups > "sympy" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to [email protected]. > To post to this group, send email to [email protected]. > Visit this group at http://groups.google.com/group/sympy. > For more options, visit https://groups.google.com/groups/opt_out. > > > -- > You received this message because you are subscribed to the Google Groups > "sympy" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to [email protected]. > To post to this group, send email to [email protected]. > Visit this group at http://groups.google.com/group/sympy. > For more options, visit https://groups.google.com/groups/opt_out. > -- You received this message because you are subscribed to the Google Groups "sympy" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/sympy. For more options, visit https://groups.google.com/groups/opt_out.
