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The Allison-Faulkner construction of e 8. / Petrov, Victor; Rigby, Simon W.

In: Canadian Mathematical Bulletin, 10.09.2021.

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

Harvard

Petrov, V & Rigby, SW 2021, 'The Allison-Faulkner construction of e 8', Canadian Mathematical Bulletin. https://doi.org/10.4153/s0008439521000813

APA

Petrov, V., & Rigby, S. W. (2021). The Allison-Faulkner construction of e 8. Canadian Mathematical Bulletin. https://doi.org/10.4153/s0008439521000813

Vancouver

Petrov V, Rigby SW. The Allison-Faulkner construction of e 8. Canadian Mathematical Bulletin. 2021 Sep 10. https://doi.org/10.4153/s0008439521000813

Author

Petrov, Victor ; Rigby, Simon W. / The Allison-Faulkner construction of e 8. In: Canadian Mathematical Bulletin. 2021.

BibTeX

@article{a5cc95d55b4e4d029d037a4909c8a947,
title = "The Allison-Faulkner construction of e 8",
abstract = "We show that the Tits index 133 8.1 cannot be obtained by means of the Tits construction over a field with no odd degree extensions. The proof uses a general method coming from the theory of symmetric spaces. We construct two cohomological invariants, in degrees 6 and 8, of the Tits construction and the more symmetric Allison Faulkner construction of Lie algebras of type 8 and show that these invariants can be used to detect the isotropy rank.",
author = "Victor Petrov and Rigby, {Simon W.}",
note = "Publisher Copyright: {\textcopyright} 2021 Cambridge University Press. All rights reserved.",
year = "2021",
month = sep,
day = "10",
doi = "10.4153/s0008439521000813",
language = "English",
journal = "Canadian Mathematical Bulletin",
issn = "0008-4395",
publisher = "Canadian Mathematical Society",

}

RIS

TY - JOUR

T1 - The Allison-Faulkner construction of e 8

AU - Petrov, Victor

AU - Rigby, Simon W.

N1 - Publisher Copyright: © 2021 Cambridge University Press. All rights reserved.

PY - 2021/9/10

Y1 - 2021/9/10

N2 - We show that the Tits index 133 8.1 cannot be obtained by means of the Tits construction over a field with no odd degree extensions. The proof uses a general method coming from the theory of symmetric spaces. We construct two cohomological invariants, in degrees 6 and 8, of the Tits construction and the more symmetric Allison Faulkner construction of Lie algebras of type 8 and show that these invariants can be used to detect the isotropy rank.

AB - We show that the Tits index 133 8.1 cannot be obtained by means of the Tits construction over a field with no odd degree extensions. The proof uses a general method coming from the theory of symmetric spaces. We construct two cohomological invariants, in degrees 6 and 8, of the Tits construction and the more symmetric Allison Faulkner construction of Lie algebras of type 8 and show that these invariants can be used to detect the isotropy rank.

UR - http://www.scopus.com/inward/record.url?scp=85115015526&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/4c6f3621-86e4-3556-b8e5-7ebd37e44601/

U2 - 10.4153/s0008439521000813

DO - 10.4153/s0008439521000813

M3 - Article

AN - SCOPUS:85115015526

JO - Canadian Mathematical Bulletin

JF - Canadian Mathematical Bulletin

SN - 0008-4395

ER -

ID: 85932685