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

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Publication:2193216
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DOI10.1016/j.jalgebra.2020.06.006zbMath1476.20050arXiv2004.08191OpenAlexW3034683648MaRDI QIDQ2193216

A. V. Semenov, Victor Petrov

Publication date: 25 August 2020

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.08191

zbMATH Keywords

algebraic groupscentral simple algebrasCasimir operator


Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05)




Cites Work

  • Unnamed Item
  • Strongly multiplicity free modules for Lie algebras and quantum groups
  • Automorphism groups of finite dimensional simple algebras.
  • On the geometry of inner ideals
  • Geometries, the principle of duality, and algebraic groups
  • GROUPS OF TYPEE7OVER ARBITRARY FIELDS
  • Vassiliev invariants from symmetric spaces
  • ON A PROPERTY OF HIGHEST WEIGHT VECTORS
  • A System of Quadrics Describing the Orbit of the Highest Weight Vector
  • A Characterization of Spin Representations
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