[GiNaC-list] GiNaC and Geometric Algebra

[Vladimir Kisil]

>>>>> "AB" == Alan Bromborsky <brombo at 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 at maths.leeds.ac.uk
--                      www: http://maths.leeds.ac.uk/~kisilv/