SOME DECOMPOSITION OF MODULAR $sp_4$(F)-MODULES USING DIMENSION FORMULA

  • Kim, Y. K. (Department of Mathematics, Chonbuk National University, Chonju 560-756) ;
  • G. S. Seo (Department of Mathematics, Chonbuk National University, Chonju 560-756) ;
  • S. Y. Won (Department of Mathematics, Chonbuk National University, Chonju 560-756)
  • Published : 1995.08.01

Abstract

Simple Lie albegras over algebraically closed field with characteristic p > 7 were classified by H. Strade and R. L. Wilson in 1991 [7]. All modular representations of simple Lie algebras, however, are not classified although some restricted modular representations have been done earlier by Curtis and Steinberg. In connection with this, we would like to decompose basic $sp_4$(F)-modules $sl_4$-(F) and $gl_4$(F) over nonzero characteristic by way of characteristic zero case.