SUBREGULAR POINTS FOR SOME CASES OF LIE ALGEBRAS

  • KIM, Y.K. (Dept. of Mathematics, Chonbuk National University) ;
  • SO, K.H. (Dept. of Mathematics, Jeonju University) ;
  • JEONG, J.W. (Dept. of Mathematics, Jeonju University) ;
  • PARK, D.Y. (Dept. of Mathematics, Jeonju University) ;
  • CHOI, S.H. (Dept. of Mathematics, Jeonju University)
  • Received : 1999.03.31
  • Published : 1999.07.30

Abstract

Dimensions of irreducible $so_5(F)$-modules over an algebraically closed field F of characteristics p > 2 shall be obtained. It turns out that they should be coincident with $p^{m}$, where 2m is the dimension of coadjoint orbits of ${\chi}{\in}so_5(F)^*{\backslash}0$ as Premet asserted. But there is no subregular point for $g=sp_4(F)=so_5(F)$ over F.

Keywords

modular Lie algebra;modular representation theory

Acknowledgement

Supported by : Basic Science Research Institute

References

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