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)
  • 투고 : 1999.03.31
  • 발행 : 1999.07.30

초록

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.

키워드

modular Lie algebra;modular representation theory

과제정보

연구 과제 주관 기관 : Basic Science Research Institute

참고문헌

  1. Proceedings of Glasgow Math. Assoc. no.2 The representations of Lie algebras of prime characteristic Zassenhaus, H.
  2. Journal of the London Mathematical Society v.55 Support varieties of nonrestricted modules over Lie algebras of reductive groups Premet, A.
  3. Math. Notes Acad. Sci. USSR v.2 Irreducible representations of a simple three dimensional Lie algebra over a field of finite characteristic Shafarevich, I.R.;Rudakov, A.N.
  4. Modular Lie algebras Strade, H.;Farnsteiner, R.
  5. Honam Mathematical Journal v.19 no.1 On subregular points for some cases of Lie algebra Kim, Y.;So, K.;Seo, G.;Park, D.;Choi, S.
  6. Honam Mathematical Journal v.20 no.1 Some remarks on four kinds of points associated to Lie algebras Kim, Y.
  7. Lie algebras Jacobson, N.
  8. American J. of Math. v.110 Modular representation theory of Lie algebras Friedlander, E.M.;Parshall, B.J.
  9. Introduction to Lie algebras and Representation theory Humphreys, J.E.
  10. Abh. Math. Sem. Univ. Hamburg v.56 Kohomologie von p-Lie algebren und nilpotente Elemente Jantzen, J.C.