Invariant theory of \(G_ 2\) and \(Spin_ 7\) (Q1115493)
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scientific article; zbMATH DE number 4085794
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Invariant theory of \(G_ 2\) and \(Spin_ 7\) |
scientific article; zbMATH DE number 4085794 |
Statements
Invariant theory of \(G_ 2\) and \(Spin_ 7\) (English)
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1988
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Let G be a semisimple complex algebraic group. By an invariant theory for G the author understands a faithful representation V together with generators and relations for the algebra of invariants \({\mathbb{C}}[V\oplus...\oplus V]^ G\). He establishes such an invariant theory for types \(G_ 2\) and \(B_ 3\). This is closely connected with the Cayley algebra. To obtain the relations among generators, the author employs Poincaré series techniques.
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invariant theory for semisimple complex algebraic group
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\(G_ 2\)
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\(B_ 3\)
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Cayley algebra
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generators
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Poincaré series
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