The number of embeddings of integral quadratic forms. II (Q1076710)
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scientific article; zbMATH DE number 3955007
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The number of embeddings of integral quadratic forms. II |
scientific article; zbMATH DE number 3955007 |
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The number of embeddings of integral quadratic forms. II (English)
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1986
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In the first paper [ibid. 61, 317-320 (1985; Zbl 0589.10020)] an expression was given of the number of equivalence classes of primitive embeddings from a nondegenerate integral quadratic lattice M into an indefinite unimodular lattice L in terms of a certain invariant e(N) of the orthogonal complement N of M in L. In the paper under review an effective procedure is described for calculating this invariant when N is indefinite with rank at least three. This extends some of the results of Nikulin.
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indefinite integral quadratic forms
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representations of quadratic
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forms
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discriminant forms
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number of equivalence classes
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primitive embeddings
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invariant
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