Central extensions of filiform associative algebras

被引：16
|
作者：
Karimjanov, Iqboljon [1 ]
Kaygorodov, Ivan [2 ]
Ladra, Manuel [1 ]
机构：
[1] Univ Santiago de Compostela, Inst Matemat, Dept Matemat, Santiago De Compostela, Spain
[2] Univ Fed ABC, CMCC, Santo Andre, SP, Brazil
来源：
LINEAR & MULTILINEAR ALGEBRA | 2021年 / 69卷 / 06期
基金：
俄罗斯基础研究基金会; 巴西圣保罗研究基金会;
关键词：
Associative algebras; nilpotent; null-filiform; naturally graded; filiform; quasi-filiform; 2-cocycles central extension;
D O I：
10.1080/03081087.2019.1620674
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we describe central extensions (up to isomorphism) of all complex null-filiform and filiform associative algebras.
引用
收藏
页码：1083 / 1101
页数：19
相关论文
共 50 条
  • [41] Geometry of Central Extensions of Nilpotent Lie Algebras
    D. V. Millionshchikov
    R. Jimenez
    Proceedings of the Steklov Institute of Mathematics, 2019, 305 : 209 - 231
  • [42] Universal central extensions of gauge algebras and groups
    Janssens, Bas
    Wockel, Christoph
    JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK, 2013, 682 : 129 - 139
  • [43] EXTENSIONS OF VALUATION RINGS IN CENTRAL SIMPLE ALGEBRAS
    BRUNGS, HH
    GRATER, J
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 317 (01) : 287 - 302
  • [44] Topologies on central extensions of von Neumann algebras
    Ayupov, Shavkat A.
    Kudaybergenov, Karimbergen K.
    Djumamuratov, Rauaj T.
    CENTRAL EUROPEAN JOURNAL OF MATHEMATICS, 2012, 10 (02): : 656 - 664
  • [45] Index of Graded Filiform and Quasi Filiform Lie Algebras
    Adimi, Hadjer
    Makhlouf, Abdenacer
    FILOMAT, 2013, 27 (03) : 467 - 483
  • [46] Classification of central extensions of Lax operator algebras
    Schlichenmaier, Martin
    GEOMETRIC METHODS IN PHYSICS, 2008, 1079 : 227 - 234
  • [47] On central extensions and simply laced Lie algebras
    Romano, Beth
    JOURNAL OF ALGEBRA, 2021, 568 : 480 - 511
  • [48] Graded contractions of Lie algebras and central extensions
    de Guise, H
    de Montigny, M
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2000, 33 (22): : 4039 - 4057
  • [49] Graded contractions of Lie algebras and central extensions
    de Montigny, M
    de Guise, H
    CZECHOSLOVAK JOURNAL OF PHYSICS, 2001, 51 (04) : 365 - 374
  • [50] On the Multiplier of Filiform Filippov Algebras
    Hamid Darabi
    Mehdi Eshrati
    Babak Jabbar Nezhad
    Results in Mathematics, 2021, 76
12345