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Adjoint algebraic groups as automorphism groups of a projector on a central simple algebra

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arxiv 2004.08191 v1 pith:6LEEDG3K submitted 2020-04-17 math.GR

Viktor Petrov , Andrei Semenov This is my paper · ORCID
classification math.GR
keywords simpleadjointalgebraalgebraicautomorphismcentralgroupgroups
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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.

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