A construction of the Deligne-Langlands local root numbers of orthogonal Galois representations (Q910430)
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scientific article; zbMATH DE number 4139883
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A construction of the Deligne-Langlands local root numbers of orthogonal Galois representations |
scientific article; zbMATH DE number 4139883 |
Statements
A construction of the Deligne-Langlands local root numbers of orthogonal Galois representations (English)
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1988
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Let K be a local p-adic field and v a continuous orthogonal Galois representation factoring through \(Gal(K/{\mathbb{Q}}_ p)\). The author gives a representation-theoretic description of the local root number \(W_ K(v)\) using the Atiyah-Segal completion theorem in orthogonal K-theory and explicit Brauer induction.
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continuous orthogonal Galois representation
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local root number
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orthogonal K-theory
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explicit Brauer induction
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