Irreducible finite-dimensional Jordan superbimodules over the simple superalgebra \(B(1,2)\) (Q2710729)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Irreducible finite-dimensional Jordan superbimodules over the simple superalgebra \(B(1,2)\) |
scientific article |
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28 November 2001
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superalgebras
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irreducible Jordan superbimodules
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Irreducible finite-dimensional Jordan superbimodules over the simple superalgebra \(B(1,2)\) (English)
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A supercommutative simple superalgebra \(B(1,2)\) is the superalgebra \(A=A_0\oplus A_1\), where \(A_0=k\cdot 1\) and \(A_1=kx +ky\), where \(xy=1\). This superalgebra is alternative if the characteristic of \(k\) is equal to 3. The main result of the paper establishes a classification of all finite dimensional irreducible Jordan superbimodules over \(B(1,2)\). There exist up to some equivalence 3 types of these superbimodules of a dimension at least 2.
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0.9199154376983644
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0.8336136341094971
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