体上SL_n(F)到SL_m(K)的同态(ch F≠2)

Homomorphisms from SL_n(F) to SL_m(K) over Skew Fields

令F,K为体,chF表示体F的特征,SLn(F)表示体F上的特殊线性群,研究了SLn(F)到SLm(K)(chF≠2),n>m,n≥3)的同态形式。

Let F, K be skew field, chF denotes the characteristic of F, SL_n(F) denotes the special linear group of degree n over F. The author proves that if chF is odd, n>m and n≥3, then the homorphisms from SL_n(F) to SL_m(K) are all trivial.