luis wrote: > Hi, > > Is there some way in 'galgebra.GAsympy' > to apply the Hodge-* operator? > > Thanks, > > Luis > > PS. I am using MV.setup(basis,metric) with a null metric. > > > > See http://en.wikipedia.org/wiki/Geometric_algebra. I think the Hodge dual of a vector, v, is just the geometrics product of the vector and the pseudoscalar I that is
v* = v*I for 3-dimensions (signature(+++)) we have the relation that the cross product of two vectors a and b is a x b = -I a ^ b where I is the pseudo-scalar and ^ is the outer (exterior) product see http://wiki.sympy.org/wiki/Geometric_Algebra_Module for how to set up your metric. --~--~---------~--~----~------------~-------~--~----~ You received this message because you are subscribed to the Google Groups "sympy" group. To post to this group, send email to [email protected] To unsubscribe from this group, send email to [email protected] For more options, visit this group at http://groups.google.com/group/sympy?hl=en -~----------~----~----~----~------~----~------~--~---
