"AB" == Alan Bromborsky <brombo@comcast.net> writes:
AB> Considering some of the applications you are developing GiNaC AB> for I wonder if you familiar with the book "Geometric Algebra AB> for Physicists," by Chis Doran and Anthony Lasenby, especially AB> with regard to the geometric algebra formulation of tensor AB> analysis for gravitation and quantum mechanics? I am personally saw that book but did not have a chance yet to read it carefully (btw, my main area of specialisation is analysis). AB> The geometric algebra/calculus formulation leads to simplifications and AB> unification of several areas of mathematical physics. I completely agree with this statement and this is the reason why I am using Clifford algebras in my research. AB> Question, in your representation of Clifford algebra do you use a AB> multiplication table or a matrix representation? GiNaC currently is using multiplication tables for calculations with Clifford algebras. There are two questions in this connection: 1. Is there a Clifford algebras tasks which cannot be handled with multiplication tables but are accessible for matrix multiplication. On computer language: can we write a program using Clifford algebras which will behave differently depending from the internal representation of Clifford algebras. 2. Are there computational advantages in term of speed/memory/etc of matrix representation over the multiplication table? Best wishes, Vladimir -- Vladimir V. Kisil email: kisilv@maths.leeds.ac.uk -- www: http://maths.leeds.ac.uk/~kisilv/