Some representations of exceptional Lie algebras (Q1112936)

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scientific article; zbMATH DE number 4079687
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Some representations of exceptional Lie algebras
scientific article; zbMATH DE number 4079687

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    Some representations of exceptional Lie algebras (English)
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    1988
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    Let V be an irreducible, finite dimensional rational representation of G, a simple algebraic group over an algebraically closed field of characteristic p. Without much loss of generality the authors assume the highest weight \(\lambda\) of V is restricted. Then in the back of the paper for \(L(G)=F_ 4\), \(G_ 2\), \(E_ 6\), and \(E_ 7\) the authors give dimensions of corresponding weight spaces.
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    irreducible representations of exceptional Lie algebras
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    weight space dimensions
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    rational representation
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    simple algebraic group
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