The Structure of Simple Noncommutative Jordan Superalgebras

被引：2

作者：

Kaygorodov, Ivan ^{[1
]}

Lopatin, Artem ^{[2
]}

Popov, Yury ^{[2
]}

机构：

[1] Univ Fed ABC, CMCC, Santo Andre, SP, Brazil

[2] Univ Estadual Campinas, IMECC, Campinas, SP, Brazil

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2018年 / 15卷 / 02期

关键词：

FINITE-DIMENSIONAL JORDAN; ALGEBRAS ADMITTING DERIVATIONS; DELTA-SUPERDERIVATIONS; CLASSIFICATION;

D O I：

10.1007/s00009-018-1084-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we describe all subalgebras and automorphisms of simple noncommutative Jordan superalgebras K-3(alpha, beta, gamma) and D-t(alpha, beta, gamma). We also compute the derivations under some restrictions of the nontrivial simple finite-dimensional noncommutative Jordan superalgebras. All superalgebras are considered over a field of the characteristic 0.

引用

页数：20

共 50 条

[1] The Structure of Simple Noncommutative Jordan Superalgebras
Ivan Kaygorodov
Artem Lopatin
Yury Popov
[J]. Mediterranean Journal of Mathematics, 2018, 15
[2] Representations of simple noncommutative Jordan superalgebras I
Popov, Yury
[J]. JOURNAL OF ALGEBRA, 2020, 544 : 329 - 390
[3] Representations of simple noncommutative Jordan superalgebras II
Popov, Yury
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2023, 227 (01)
[4] Simple finite-dimensional modular noncommutative Jordan superalgebras
Pozhidaev, A. P.
Shestakov, I. P.
[J]. JOURNAL OF PURE AND APPLIED ALGEBRA, 2019, 223 (06) : 2320 - 2344
[5] Simple finite-dimensional noncommutative Jordan superalgebras of characteristic 0
Pozhidaev, A. P.
Shestakov, I. P.
[J]. SIBERIAN MATHEMATICAL JOURNAL, 2013, 54 (02) : 301 - 316
[6] Simple finite-dimensional noncommutative Jordan superalgebras of characteristic 0
A. P. Pozhidaev
I. P. Shestakov
[J]. Siberian Mathematical Journal, 2013, 54 : 301 - 316
[7] Noncommutative Jordan superalgebras of degree n ≥ 2
A. P. Pozhidaev
I. P. Shestakov
[J]. Doklady Mathematics, 2010, 81 : 204 - 208
[8] Noncommutative Jordan superalgebras of degree n > 2
A. P. Pozhidaev
P. Shestakov
[J]. Algebra and Logic, 2010, 49 : 18 - 42
[9] Simple Jordan conformal superalgebras
Kac, Victor G.
Retakh, Alexander
[J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2008, 7 (04) : 517 - 533
[10] Representations of simple Jordan superalgebras
Kashuba, Iryna
Serganova, Vera
[J]. ADVANCES IN MATHEMATICS, 2020, 370

← 1 2 3 4 5 →