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Bijective PC-maps of the unipotent radical of the Borel subgroup of the classical symplectic group. / Shchegolev, Alexander.

In: Linear and Multilinear Algebra, 12.06.2019.

Research output: Contribution to journal › Article › peer-review

Harvard

Shchegolev, A 2019, 'Bijective PC-maps of the unipotent radical of the Borel subgroup of the classical symplectic group', Linear and Multilinear Algebra. https://doi.org/10.1080/03081087.2019.1627276

APA

Shchegolev, A. (2019). Bijective PC-maps of the unipotent radical of the Borel subgroup of the classical symplectic group. Linear and Multilinear Algebra. https://doi.org/10.1080/03081087.2019.1627276

Vancouver

Shchegolev A. Bijective PC-maps of the unipotent radical of the Borel subgroup of the classical symplectic group. Linear and Multilinear Algebra. 2019 Jun 12. https://doi.org/10.1080/03081087.2019.1627276

Author

Shchegolev, Alexander. / Bijective PC-maps of the unipotent radical of the Borel subgroup of the classical symplectic group. In: Linear and Multilinear Algebra. 2019.

BibTeX

@article{e503e5a3103940639f74444c4e34cb61,
title = "Bijective PC-maps of the unipotent radical of the Borel subgroup of the classical symplectic group",
abstract = "We classify the commutator preserving bijections of the unipotent radical Up(2n, F) of the Borel subgroup of the classical symplectic group of rank at least 2 over a field F such that 6F=F. Every such a bijection is shown to be the composition of a standard automorphism of Up(2n, F) and a central map. The latter is the identity modulo the centre of (2n, F).",
keywords = "automorphisms, Lie product preservers, PC-maps, Symplectic group, unipotent group, unitriangular matrices, LIE-ALGEBRAS, AUTOMORPHISMS, LINEAR-MAPS",
author = "Alexander Shchegolev",
year = "2019",
month = jun,
day = "12",
doi = "10.1080/03081087.2019.1627276",
language = "English",
journal = "Linear and Multilinear Algebra",
issn = "0308-1087",
publisher = "Taylor & Francis",

}

RIS

TY - JOUR

T1 - Bijective PC-maps of the unipotent radical of the Borel subgroup of the classical symplectic group

AU - Shchegolev, Alexander

PY - 2019/6/12

Y1 - 2019/6/12

N2 - We classify the commutator preserving bijections of the unipotent radical Up(2n, F) of the Borel subgroup of the classical symplectic group of rank at least 2 over a field F such that 6F=F. Every such a bijection is shown to be the composition of a standard automorphism of Up(2n, F) and a central map. The latter is the identity modulo the centre of (2n, F).

AB - We classify the commutator preserving bijections of the unipotent radical Up(2n, F) of the Borel subgroup of the classical symplectic group of rank at least 2 over a field F such that 6F=F. Every such a bijection is shown to be the composition of a standard automorphism of Up(2n, F) and a central map. The latter is the identity modulo the centre of (2n, F).

KW - automorphisms

KW - Lie product preservers

KW - PC-maps

KW - Symplectic group

KW - unipotent group

KW - unitriangular matrices

KW - LIE-ALGEBRAS

KW - AUTOMORPHISMS

KW - LINEAR-MAPS

UR - http://www.scopus.com/inward/record.url?scp=85067517853&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/bijective-pcmaps-unipotent-radical-borel-subgroup-classical-symplectic-group

U2 - 10.1080/03081087.2019.1627276

DO - 10.1080/03081087.2019.1627276

M3 - Article

AN - SCOPUS:85067517853

JO - Linear and Multilinear Algebra

JF - Linear and Multilinear Algebra

SN - 0308-1087

ER -

ID: 43671958