Isomorphism classes of four dimensional nilpotent associative algebras over a field

被引：0

作者：

Pellegrini, Marco Antonio ^{[1
]}

机构：

[1] Univ Cattolica Sacro Cuore, Dipartimento Matemat & Fis, Via Musei 41, I-25121 Brescia, Italy

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2017年 / 533卷

关键词：

Regular subgroup; Congruent matrices; Nilpotent algebra; Finite field; REGULAR SUBGROUPS; AFFINE GROUP;

D O I：

10.1016/j.laa.2017.07.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we classify the isomorphism classes of four dimensional nilpotent associative algebras over a field F, studying regular subgroups of the affine group AGL(4)(F). In particular we provide explicit representatives for such classes when F is a finite field, the real field R or an algebraically closed field. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：132 / 160

页数：29

共 50 条

[21] On the isomorphism between four-dimensional Sklyanin and elliptic algebras
Mizomov, I.
JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2024,
[22] Isotopism and Isomorphism Classes of Certain Lie Algebras over Finite Fields
Falcon, O. J.
Falcon, R. M.
Nunez, J.
RESULTS IN MATHEMATICS, 2017, 71 (1-2) : 167 - 183
[23] Isotopism and Isomorphism Classes of Certain Lie Algebras over Finite Fields
O. J. Falcón
R. M. Falcón
J. Núñez
Results in Mathematics, 2017, 71 : 167 - 183
[24] Isomorphism classes and invariants of low-dimensional filiform Leibniz algebras
Abdulkareem, A. O.
Rakhimov, I. S.
Husain, S. K. Said
LINEAR & MULTILINEAR ALGEBRA, 2015, 63 (11): : 2254 - 2274
[25] Isomorphism classes of finite dimensional connected Hopf algebras in positive characteristic
Wang, Xingting
ADVANCES IN MATHEMATICS, 2015, 281 : 594 - 623
[26] Enumeration of nilpotent associative algebras of class 2 over arbitrary finite fields
Eick, Bettina
Wesche, Morten
JOURNAL OF ALGEBRA, 2018, 503 : 573 - 589
[27] Isomorphism classes of idempotent evolution algebras
Wei, Yangjiang
Zou, Yi Ming
LINEAR ALGEBRA AND ITS APPLICATIONS, 2023, 675 : 142 - 178
[28] On some classes of nilpotent Leibniz algebras
Ayupov, SA
Omirov, BA
SIBERIAN MATHEMATICAL JOURNAL, 2001, 42 (01) : 15 - 24
[29] On Some Classes of Nilpotent Leibniz Algebras
Sh. A. Ayupov
B. A. Omirov
Siberian Mathematical Journal, 2001, 42 : 15 - 24
[30] On the isomorphism problem for C*-algebras of nilpotent Lie groups
Beltita, Ingrid
Beltita, Daniel
JOURNAL OF TOPOLOGY AND ANALYSIS, 2021, 13 (03) : 753 - 782

← 1 2 3 4 5 →