On classification of pairs of potent linear operators with the simplest annihilation condition (Q2831604)
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scientific article; zbMATH DE number 6651238
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On classification of pairs of potent linear operators with the simplest annihilation condition |
scientific article; zbMATH DE number 6651238 |
Statements
10 November 2016
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potent operator
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quiver
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Krull-Schmidt category
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functor
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canonical form
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tame type
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wild type
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Dynkin graph
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extended Dynkin graph
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On classification of pairs of potent linear operators with the simplest annihilation condition (English)
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The authors study the problem of classifying pairs of linear operators \(\mathcal{A}\), \(\mathcal{B}\) (acting on the same vector space), when both operators are potent and \(\mathcal{A}\mathcal{B}=0\). They describe the finite, tame and wild cases and classify the indecomposable pairs of operators in the first two of them.
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0.7983152866363525
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0.7247411608695984
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0.7143170237541199
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