Graded polynomial identities for the Lie algebra of upper triangular matrices of order 3

被引：0
|
作者：
Yasumura, Felipe Y. [1 ]
机构：
[1] Univ Sao Paulo, Dept Math, Inst Matemat & Estat, Sao Paulo, SP, Brazil
来源：
COMMUNICATIONS IN ALGEBRA | 2023年 / 51卷 / 06期
基金：
巴西圣保罗研究基金会;
关键词：
Graded algebra; graded polynomial identity; triangular matrices; JORDAN ALGEBRA; GRADINGS; VARIETIES;
D O I：
10.1080/00927872.2022.2157007
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We compute the graded polynomial identities and its graded codimension sequence for the elementary gradings of the Lie algebra of upper triangular matrices of order 3.
引用
收藏
页码：2293 / 2307
页数：15
相关论文
共 50 条
  • [41] Strongly Ad-Nilpotent Elements of the Lie Algebra of Upper Triangular Matrices
    Hu, Zhiguang
    JOURNAL OF MATHEMATICS, 2022, 2022
  • [42] Identities of bilinear mappings and graded polynomial identities of matrices
    Bahturin, YA
    Drensky, V
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2003, 369 : 95 - 112
  • [43] Zn-graded polynomial identities of the full matrix algebra of order n
    Vasilovsky, SY
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 127 (12) : 3517 - 3524
  • [44] Derivations of the intermediate Lie algebras between the Lie algebra of diagonal matrices and that of upper triangular matrices over a commutative ring
    Wang, Dengyin
    Ou, Shikun
    Yu, Qiu
    LINEAR & MULTILINEAR ALGEBRA, 2006, 54 (05): : 369 - 377
  • [45] Graded identities of block-triangular matrices
    Pereira Da Silva e Silva, Diogo Diniz
    de Mello, Thiago Castilho
    JOURNAL OF ALGEBRA, 2016, 464 : 246 - 265
  • [46] Cocharacters of polynomial identities of block triangular matrices
    Drensky, Vesselin
    Kostadinov, Boyan
    COMMUNICATIONS IN ALGEBRA, 2017, 45 (05) : 2127 - 2141
  • [47] POLYNOMIAL IDENTITIES FOR MATRICES OVER THE GRASSMANN ALGEBRA
    Frenkel, Peter E.
    ISRAEL JOURNAL OF MATHEMATICS, 2017, 220 (02) : 791 - 801
  • [48] Polynomial identities for matrices over the Grassmann algebra
    Péter E. Frenkel
    Israel Journal of Mathematics, 2017, 220 : 791 - 801
  • [49] On the factorability of polynomial identities of upper block triangular matrix algebras graded by cyclic groups
    Di Vincenzo, Onofrio Mario
    da Silva Pinto, Marcos Antonio
    Tomaz da Silva, Viviane Ribeiro
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2020, 601 : 311 - 337
  • [50] A Lie algebra over a finite field of characteristic 2: Graded polynomial identities and Specht property
    Morais, Pedro
    Salomao, Mateus Eduardo
    Souza, Manuela da Silva
    JOURNAL OF ALGEBRA, 2024, 639 : 228 - 248
12345