Differentiably simple Jordan algebras

被引：5

作者：

Popov, A. A. ^{[1
]}

机构：

[1] Novosibirsk State Univ, Sobolev Inst Math, Novosibirsk 630090, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2013年 / 54卷 / 04期

基金：

俄罗斯基础研究基金会;

关键词：

Jordan algebra; derivation; differentiably simple algebra; SIMPLE RINGS; SUPERALGEBRAS; LIE;

D O I：

10.1134/S0037446613040113

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that each exceptional differentiably simple Jordan algebra over a field of characteristic 0 is an Albert ring whose elements satisfy a cubic equation with the coefficients in the center of the algebra. If the characteristic of the field is greater than 2 then such an algebra is the tensor product of its center and a central exceptional simple 27-dimensional Jordan algebra. Some remarks made on special algebras.

引用

页码：713 / 721

页数：9

共 50 条

[31] Quasi Jordan algebras with involution
Alhefthi, Reem K.
Siddiqui, Akhlaq A.
Jamjoom, Fatmah B.
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2021, 52 (01) : 112 - 124
[32] On a ternary generalization of Jordan algebras
Kaygorodov, Ivan
Pozhidaev, Alexander
Saraiva, Paulo
LINEAR & MULTILINEAR ALGEBRA, 2019, 67 (06) : 1074 - 1102
[33] Jordan σ-derivations of triangular algebras
Benkovic, Dominik
LINEAR & MULTILINEAR ALGEBRA, 2016, 64 (02) : 143 - 155
[34] ON SOME JORDAN BARIC ALGEBRAS
Elduque, Alberto
Labra, Alicia
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2013, 12 (05)
[35] Simple Poisson-Farkas Algebras and Ternary Filippov Algebras
Pozhidaev, A. P.
SIBERIAN MATHEMATICAL JOURNAL, 2017, 58 (06) : 1071 - 1077
[36] CHARACTERIZING JORDAN MAPS ON C*-ALGEBRAS THROUGH ZERO PRODUCTS
Alaminos, J.
Bresar, J. M.
Extremera, J.
Villena, A. R.
PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2010, 53 : 543 - 555
[37] HOM-ALTERNATIVE ALGEBRAS AND HOM-JORDAN ALGEBRAS
Makhlouf, Abdenacer
INTERNATIONAL ELECTRONIC JOURNAL OF ALGEBRA, 2010, 8 : 177 - 190
[38] On correlation functions of vertex operator algebras associated to Jordan algebras
Zhao, Hongbo
JOURNAL OF ALGEBRA, 2016, 468 : 193 - 213
[39] ON PRIMITIVE AXIAL ALGEBRAS OF JORDAN TYPE
Hall, J., I
Segev, Y.
Shpectorov, S.
BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES, 2018, 13 (04): : 397 - 409
[40] Deformations of Jordan algebras of dimension four
Kashuba, Iryna
Martin, Maria Eugenia
JOURNAL OF ALGEBRA, 2014, 399 : 277 - 289

← 1 2 3 4 5 →