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

被引:2
|
作者
Yasumura, Felipe Y. [1 ]
机构
[1] Univ Sao Paulo, Dept Math, Inst Matemat & Estat, Sao Paulo, SP, Brazil
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
  • [31] Graded polynomial identities of triangular algebras
    Di Vincenzo, Onofrio M.
    Nardozza, Vincenzo
    JOURNAL OF PURE AND APPLIED ALGEBRA, 2020, 224 (06)
  • [32] The computation of abelian subalgebras in the Lie algebra of upper-triangular matrices
    Ceballos, Manuel
    Nunez, Juan
    Tenorio, Angel F.
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2008, 16 (01): : 59 - 66
  • [33] Linear Lie centralizers of the algebra of dominant block upper triangular matrices
    Ghimire, Prakash
    LINEAR & MULTILINEAR ALGEBRA, 2022, 70 (20): : 5040 - 5051
  • [34] LINEAR LIE CENTRALIZERS OF THE ALGEBRA OF STRICTLY BLOCK UPPER TRIANGULAR MATRICES
    Ghimire, Prakash
    OPERATORS AND MATRICES, 2021, 15 (01): : 303 - 311
  • [35] Lie triple centralizers of the algebra of dominant block upper triangular matrices
    Ghimire, Prakash
    Benavides, Magdalena
    King, Sheral
    Young, Lavona
    LINEAR & MULTILINEAR ALGEBRA, 2025, 73 (01): : 163 - 175
  • [36] TRACE IDENTITIES OF THE ALGEBRA OF TRIANGULAR MATRICES
    VAIS, AY
    SIBERIAN MATHEMATICAL JOURNAL, 1988, 29 (03) : 352 - 359
  • [37] Graded identities and isomorphisms on algebras of upper block-triangular matrices
    Ramos, Alex
    Diniz, Diogo
    JOURNAL OF ALGEBRA, 2019, 523 : 201 - 216
  • [38] Gradings and graded identities for the upper triangular matrices over an infinite field
    Di Vincenzo, OM
    Koshlukov, P
    Valenti, A
    GROUPS, RINGS AND GROUP RINGS, 2006, 248 : 91 - 103
  • [40] Gradings on the algebra of triangular matrices as a Lie algebra: Revisited
    Koshlukov, Plamen
    Yasumura, Felipe Yukihide
    JOURNAL OF ALGEBRA, 2025, 664 : 756 - 779