The vanishing of modular symmetry classes of tensors (Q2717071)
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scientific article; zbMATH DE number 1604443
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The vanishing of modular symmetry classes of tensors |
scientific article; zbMATH DE number 1604443 |
Statements
13 June 2001
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tensor spaces
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block idempotents
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subgroups of symmetric groups
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representations
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direct summands
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The vanishing of modular symmetry classes of tensors (English)
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Let \(G\) be a subgroup of the symmetric group \(S_m\). Then \(G\) acts on any tensor space \(T=V^{\otimes m}\) by place permutation. The paper under review studies direct summands of such representations \(T\) in prime characteristic, which are obtained e.g. by multiplying \(T\) with a block idempotent.
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