Bijective maps on standard Borel subgroup of symplectic group preserving commutators. (Q1758115)
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scientific article; zbMATH DE number 6102989
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bijective maps on standard Borel subgroup of symplectic group preserving commutators. |
scientific article; zbMATH DE number 6102989 |
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Bijective maps on standard Borel subgroup of symplectic group preserving commutators. (English)
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7 November 2012
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Let \(F\) be a field, and let \(\mathbb G\) be the standard Borel subgroup of the symplectic group \(\mathrm{Sp}(2m,F)\). The author characterizes the bijective maps \(\varphi\colon\mathbb G\to\mathbb G\) satisfying \(\varphi[x,y]=[\varphi(x),\varphi(y)]\).
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linear preserver maps
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maps preserving commutators
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matrix groups
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symplectic groups
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PC-maps
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Borel subgroups
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