On actions of algebraic groups

In [6] we discussed the Lie Algebra associated with an algebraic group G. In this work, we employ morphical action of G to obtain a necessary and sufficient condition for a finite dimensional subspace F of K[X] to be stable under all translations where K[X] denotes the set of polynomials in the variables x1,x2, …, xn. Group action is discussed briefly as a build up to morphical action of algebraic group. Journal of the Nigerian Association of Mathematical Physics Vol. 9 2005: pp. 541-54