%0 Journal Article %T On the n-Dimensional Porous Medium Diffusion Equation and Global Actions of the Symmetry Group %A Jose A. Franco %J Symmetry, Integrability and Geometry : Methods and Applications %D 2013 %I National Academy of Science of Ukraine %X By restricting to a special class of smooth functions, the local action of the symmetry group is globalized. This special class of functions is constructed using parabolic induction. %K globalization %K porous medium equation %K Lie group representation %K Lorentz group %K parabolic induction %U http://dx.doi.org/10.3842/SIGMA.2013.011