The Body Features Special Linear Group Homomorphism

Let F.K be skew field, ChF denotes the characteristic off; SL^F and GL^F(in, n Z? denote n-order the special linear groups and the general linear group over Frespectively; SLm(K) and GL^K denote rn-order the special linear group and generallinear groups over K respectively.In this paper, we use the methods and techinques of the matrix calculus etc. todetermine the form of homomorphism of group from SLYI(F) to SLm(K) with n >m, n> 3 and to obtain the conclusion of the homomorphism being ordinary. And underthe Restriction of ChF = 2 n > 3 we also determine the form of homomorphism ofgroup from SL (F) to SL,. (K) and to obtain the conc lusion of the homomorpism beingstandard.Therefore, these results asvance and improve the conclusion of relevant literatureavailable as home and abroad.