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Adjoint algebraic groups as automorphism groups of a projector on a central simple algebra
- Source :
- Journal of Algebra. 560:574-578
- Publication Year :
- 2020
- Publisher :
- Elsevier BV, 2020.
-
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.
- Subjects :
- Linear algebraic group
Pure mathematics
Algebra and Number Theory
010102 general mathematics
Zero (complex analysis)
Field (mathematics)
Automorphism
01 natural sciences
Quadratic equation
Simple (abstract algebra)
0103 physical sciences
010307 mathematical physics
0101 mathematics
Algebraic number
Central simple algebra
Mathematics
Subjects
Details
- ISSN :
- 00218693
- Volume :
- 560
- Database :
- OpenAIRE
- Journal :
- Journal of Algebra
- Accession number :
- edsair.doi...........b16df6040daa13bff6b913e0b9991d4e