### Abstract

We show that any adjoint absolutely simple linear algebraic group over a field of characteristic zero is the automorphism group of some projector on a central simple algebra. Projective homogeneous varieties can be described in these terms; in particular, we reproduce quadratic equations by Lichtenstein defining them.

Original language | English |
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Pages (from-to) | 574-578 |

Number of pages | 5 |

Journal | Journal of Algebra |

Volume | 560 |

DOIs | |

Publication status | Published - 15 Oct 2020 |

### Scopus subject areas

- Algebra and Number Theory

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## Cite this

Petrov, V. A., & Semenov, A. V. (2020). Adjoint algebraic groups as automorphism groups of a projector on a central simple algebra.

*Journal of Algebra*,*560*, 574-578. https://doi.org/10.1016/j.jalgebra.2020.06.006