Research output: Contribution to journal › Article › peer-review
Adjoint algebraic groups as automorphism groups of a projector on a central simple algebra. / Petrov, Viktor A.; Semenov, Andrei V.
In: Journal of Algebra, Vol. 560, 15.10.2020, p. 574-578.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - Adjoint algebraic groups as automorphism groups of a projector on a central simple algebra
AU - Petrov, Viktor A.
AU - Semenov, Andrei V.
PY - 2020/10/15
Y1 - 2020/10/15
N2 - 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.
AB - 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.
KW - Algebraic groups
KW - Casimir operator
KW - Central simple algebras
UR - http://www.scopus.com/inward/record.url?scp=85086365813&partnerID=8YFLogxK
U2 - 10.1016/j.jalgebra.2020.06.006
DO - 10.1016/j.jalgebra.2020.06.006
M3 - Article
AN - SCOPUS:85086365813
VL - 560
SP - 574
EP - 578
JO - Journal of Algebra
JF - Journal of Algebra
SN - 0021-8693
ER -
ID: 60288857