Decomposition numbers of exceptional Weyl groups. II (Q1109886)
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scientific article; zbMATH DE number 4071182
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Decomposition numbers of exceptional Weyl groups. II |
scientific article; zbMATH DE number 4071182 |
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Decomposition numbers of exceptional Weyl groups. II (English)
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1985
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[For Part I, cf. the first author, ibid. 91, 390-409 (1984; Zbl 0559.20011).] In this work, the modular irreducible characters of the exceptional Weyl groups for the prime numbers \(p=5,7\) are determined. The only groups which need to be considered are those of type E, namely, \(W(E_ 6)\), \(W(E_ 7)\) and \(W(E_ 8)\). In all cases but one, namely, \(W(E_ 8)\) and \(p=5\), the relevant prime number divides the order of the group to the first power only.
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modular irreducible characters
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exceptional Weyl groups
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