Brazing is a form of hard soldering, where a filler rod of a different, lower melting point metal alloy, commonly copper/zinc, is added to the components when well below the melting point of the parts to be joined. The filler rod combines with the surface of the component material, commonly steels, to form a microscopically thin compound that holds the parts together. Welding involves heating the components and a filler rod of the same material till all reach melting temperature, forming a join that is all one material. It is possible to produce a kind of aluminium soldering with some aggressive fluxes and a lower melting point alloy rod, but in my (limited) experience is very difficult to achieve good joins as the difference in the melting points of the alloy component an the filler rod is very small!
edit: I should have said that the melting point of all of the common brazing alloys are above the melting point of aluminium,and also aluminium is so reactive it requires special fluxes to keep clean