## Abstract

Let ๐ be an algebraically closed field of characteristic p > 2, let n โ โค>0, and take G to be one of the classical algebraic groups GL

_{n}(๐), SL_{n}(๐), Sp_{n}(๐), O_{n}(๐) or SO_{n}(๐), with ๐ค = Lie G. We determine the maximal G-stable closed subvariety V of the nilpotent cone N of ๐ค such that the G-orbits in V are in bijection with the G-orbits of ๐ฐ๐ฉ_{2}-triples (e, h, f) with e, f โ V. This result determines to what extent the theorems of JacobsonโMorozov and Kostant on ๐ฐ๐ฉ_{2}-triples hold for classical algebraic groups over an algebraically closed field of โsmallโ odd characteristic.ยOriginal language | English |
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Journal | Transformation Groups |

Publication status | Accepted/In press - 31 Jan 2021 |

### Bibliographical note

Not yet published as of 09/05/2022.## Keywords

- Lie algebras
- sl2 triples

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