Simple finite-dimensional modular noncommutative Jordan superalgebras

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Simple finite-dimensional modular noncommutative Jordan superalgebras. / Pozhidaev, A. P.; Shestakov, I. P.

In: Journal of Pure and Applied Algebra, Vol. 223, No. 6, 01.06.2019, p. 2320-2344.

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

Harvard

Pozhidaev, AP & Shestakov, IP 2019, 'Simple finite-dimensional modular noncommutative Jordan superalgebras', Journal of Pure and Applied Algebra, vol. 223, no. 6, pp. 2320-2344. https://doi.org/10.1016/j.jpaa.2018.07.017

APA

Pozhidaev, A. P., & Shestakov, I. P. (2019). Simple finite-dimensional modular noncommutative Jordan superalgebras. Journal of Pure and Applied Algebra, 223(6), 2320-2344. https://doi.org/10.1016/j.jpaa.2018.07.017

Vancouver

Pozhidaev AP, Shestakov IP. Simple finite-dimensional modular noncommutative Jordan superalgebras. Journal of Pure and Applied Algebra. 2019 Jun 1;223(6):2320-2344. doi: 10.1016/j.jpaa.2018.07.017

Author

Pozhidaev, A. P. ; Shestakov, I. P. / Simple finite-dimensional modular noncommutative Jordan superalgebras. In: Journal of Pure and Applied Algebra. 2019 ; Vol. 223, No. 6. pp. 2320-2344.

BibTeX

@article{a73866e2dffe4e0da740eb1304568cb5,

title = "Simple finite-dimensional modular noncommutative Jordan superalgebras",

abstract = "We classify the central simple finite-dimensional noncommutative Jordan superalgebras over an algebraically closed field of characteristic p>2. The case of characteristic 0 was considered by the authors in the previous paper [21]. In particular, we describe Leibniz brackets on all finite dimensional central simple Jordan superalgebras except mixed (nor vector neither Poisson) Kantor doubles of the supercommutative superalgebra B(m,n).",

keywords = "REPRESENTATIONS, CLASSIFICATION, ALGEBRAS",

author = "Pozhidaev, {A. P.} and Shestakov, {I. P.}",

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier B.V.",

year = "2019",

month = jun,

day = "1",

doi = "10.1016/j.jpaa.2018.07.017",

language = "English",

volume = "223",

pages = "2320--2344",

journal = "Journal of Pure and Applied Algebra",

issn = "0022-4049",

publisher = "Elsevier",

number = "6",

}

RIS

TY - JOUR

T1 - Simple finite-dimensional modular noncommutative Jordan superalgebras

AU - Pozhidaev, A. P.

AU - Shestakov, I. P.

PY - 2019/6/1

Y1 - 2019/6/1

N2 - We classify the central simple finite-dimensional noncommutative Jordan superalgebras over an algebraically closed field of characteristic p>2. The case of characteristic 0 was considered by the authors in the previous paper [21]. In particular, we describe Leibniz brackets on all finite dimensional central simple Jordan superalgebras except mixed (nor vector neither Poisson) Kantor doubles of the supercommutative superalgebra B(m,n).

AB - We classify the central simple finite-dimensional noncommutative Jordan superalgebras over an algebraically closed field of characteristic p>2. The case of characteristic 0 was considered by the authors in the previous paper [21]. In particular, we describe Leibniz brackets on all finite dimensional central simple Jordan superalgebras except mixed (nor vector neither Poisson) Kantor doubles of the supercommutative superalgebra B(m,n).

KW - REPRESENTATIONS

KW - CLASSIFICATION

KW - ALGEBRAS

UR - http://www.scopus.com/inward/record.url?scp=85049890889&partnerID=8YFLogxK

U2 - 10.1016/j.jpaa.2018.07.017

DO - 10.1016/j.jpaa.2018.07.017

M3 - Article

AN - SCOPUS:85049890889

VL - 223

SP - 2320

EP - 2344

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

SN - 0022-4049

IS - 6

ER -

ID: 15967154