Bulletin of the Korean Mathematical Society (대한수학회보)
- Volume 32 Issue 2
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- Pages.191-200
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- 1995
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- 1015-8634(pISSN)
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- 2234-3016(eISSN)
SOME DECOMPOSITION OF MODULAR $sp_4$ (F)-MODULES USING DIMENSION FORMULA
- Kim, Y.K. (Department of Mathematics, Chonbuk National University) ;
- Seo, G.S. (Department of Mathematics, Chonbuk National University) ;
- Won, S.Y. (Department of Mathematics, Chonbuk National University)
- 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.