ON δ-SUPERDERIVATIONS OF SIMPLE SUPERALGEBRAS OF JORDAN BRACKETS

被引：10
|
作者：
Zhelyabin, V. N. [1 ]
Kaygorodov, I. B. [2 ]
机构：
[1] Russian Acad Sci, Sibir Branch, Sobolev Inst Math, Academician Koptyug Ave 4, Novosibirsk 630090, Russia
[2] Novosibirsk State Univ, Novosibirsk 630090, Russia
来源：
ST PETERSBURG MATHEMATICAL JOURNAL | 2012年 / 23卷 / 04期
关键词：
delta-superdifferentiation; delta-differentiation; Jordan superalgebra; Cantor double; LIE-ALGEBRAS; DERIVATIONS;
D O I：
10.1090/S1061-0022-2012-01213-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A complete description of delta-derivations and delta-superderivations is given for simple unital superalgebras of Jordan brackets over a field of characteristic different from 2 and for simple unital finite-dimensional Jordan superalgebras over an algebraically closed field of characteristic p not equal 2. As a consequence, a criterion for simple unital superalgebras of Jordan brackets to be special is obtained.
引用
收藏
页码：665 / 677
页数：13
相关论文
共 50 条
  • [21] On ID*-superderivations of Lie superalgebras
    Liu, Wende
    Cai, Mengmeng
    LINEAR & MULTILINEAR ALGEBRA, 2022, 70 (08): : 1513 - 1525
  • [22] THE SUPERALGEBRAS OF JORDAN BRACKETS DEFINED BY THE n-DIMENSIONAL SPHERE
    Zhelyabin, V. N.
    Zakharov, A. S.
    SIBERIAN MATHEMATICAL JOURNAL, 2020, 61 (04) : 632 - 647
  • [23] Codimension growth of simple Jordan superalgebras
    Ivan Shestakov
    Mikhail Zaicev
    Israel Journal of Mathematics, 2021, 245 : 615 - 638
  • [24] The Structure of Simple Noncommutative Jordan Superalgebras
    Kaygorodov, Ivan
    Lopatin, Artem
    Popov, Yury
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2018, 15 (02)
  • [25] Lie n superderivations and generalized Lie n superderivations of superalgebras
    Yuan, He
    Chen, Liangyun
    OPEN MATHEMATICS, 2018, 16 : 196 - 209
  • [26] Codimension growth of simple Jordan superalgebras
    Shestakov, Ivan
    Zaicev, Mikhail
    ISRAEL JOURNAL OF MATHEMATICS, 2021, 245 (02) : 615 - 638
  • [27] Differential algebras and simple Jordan superalgebras
    Zhelyabin V.N.
    Siberian Advances in Mathematics, 2010, 20 (3) : 223 - 230
  • [28] The Structure of Simple Noncommutative Jordan Superalgebras
    Ivan Kaygorodov
    Artem Lopatin
    Yury Popov
    Mediterranean Journal of Mathematics, 2018, 15
  • [29] EQUATIONS RELATED TO SUPERDERIVATIONS ON PRIME SUPERALGEBRAS
    Fosner, Ajda
    Fosner, Maja
    MATHEMATICA SCANDINAVICA, 2014, 115 (02) : 303 - 319
  • [30] Representations of simple noncommutative Jordan superalgebras I
    Popov, Yury
    JOURNAL OF ALGEBRA, 2020, 544 : 329 - 390
12345