An injectivity result for Hermitian forms over local orders (Q1300136)
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scientific article; zbMATH DE number 1333069
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An injectivity result for Hermitian forms over local orders |
scientific article; zbMATH DE number 1333069 |
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An injectivity result for Hermitian forms over local orders (English)
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23 November 1999
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Given a ring with involution \(R\), a natural object of study is the set \(H(R)\) of equivalence classes (with respect to congruence) of the involution-invariant units of \(R\). In this paper \(R\) is an order in a semisimple algebra \(A\) over a local field, and the authors find sufficient conditions under which the natural map from \(H(R)\) to \(H(A)\) is injective. Applications are given to the hermitian \(K\)-theory of local group rings.
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hermitian form
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local order
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ring with involution
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hermitian \(K\)-theory
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local group rings
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