Standard

Adjoint algebraic groups as automorphism groups of a projector on a central simple algebra. / Petrov, Viktor A.; Semenov, Andrei V.

в: Journal of Algebra, Том 560, 15.10.2020, стр. 574-578.

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Harvard

Petrov, VA & Semenov, AV 2020, 'Adjoint algebraic groups as automorphism groups of a projector on a central simple algebra', Journal of Algebra, Том. 560, стр. 574-578. https://doi.org/10.1016/j.jalgebra.2020.06.006

APA

Petrov, V. A., & Semenov, A. V. (2020). Adjoint algebraic groups as automorphism groups of a projector on a central simple algebra. Journal of Algebra, 560, 574-578. https://doi.org/10.1016/j.jalgebra.2020.06.006

Vancouver

Petrov VA, Semenov AV. Adjoint algebraic groups as automorphism groups of a projector on a central simple algebra. Journal of Algebra. 2020 Окт. 15;560:574-578. https://doi.org/10.1016/j.jalgebra.2020.06.006

Author

Petrov, Viktor A. ; Semenov, Andrei V. / Adjoint algebraic groups as automorphism groups of a projector on a central simple algebra. в: Journal of Algebra. 2020 ; Том 560. стр. 574-578.

BibTeX

@article{3ac8596f12784179b9de8f1dfb36a870,
title = "Adjoint algebraic groups as automorphism groups of a projector on a central simple algebra",
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.",
keywords = "Algebraic groups, Casimir operator, Central simple algebras",
author = "Petrov, {Viktor A.} and Semenov, {Andrei V.}",
year = "2020",
month = oct,
day = "15",
doi = "10.1016/j.jalgebra.2020.06.006",
language = "English",
volume = "560",
pages = "574--578",
journal = "Journal of Algebra",
issn = "0021-8693",
publisher = "Elsevier",

}

RIS

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