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

Viktor A. Petrov, Andrei V. Semenov

Research output: Contribution to journalArticlepeer-review

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 languageEnglish
Pages (from-to)574-578
Number of pages5
JournalJournal of Algebra
Volume560
DOIs
StatePublished - 15 Oct 2020

Scopus subject areas

  • Algebra and Number Theory

Keywords

  • Algebraic groups
  • Casimir operator
  • Central simple algebras

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