ON JORDAN ALGEBRAS AND UNIFICATION THEORIES

被引:0
作者
Nichita, Florin F. [1 ]
机构
[1] Romanian Acad, Simion Stoilow Inst Math, 21 Calea Grivitei, Bucharest 010702, Romania
来源
REVUE ROUMAINE DE MATHEMATIQUES PURES ET APPLIQUEES | 2016年 / 61卷 / 04期
关键词
Jordan algebras; Lie algebras; associative algebras; Yang-Baxter equations;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The current paper emerged after the 12th International Workshop on Differential Geometry and Its Applications, hosted by the Petroleum Gas University from Ploiesti, between September 23rd and September 26th, 2015. Jordan algebras and Lie algebras are the main non-associative structures. In the last years, several attempts to unify non-associative algebras and associative algebras led to UJLA structures. Another algebraic structure which we will use in order to unify non-associative algebras and associative algebras is the Yang-Baxter equation.
引用
收藏
页码:305 / 316
页数:12
相关论文
共 50 条
  • [21] Novikov-Jordan algebras
    Dzhumadil'daev, A
    COMMUNICATIONS IN ALGEBRA, 2002, 30 (11) : 5207 - 5240
  • [22] NILPOTENCY OF ALTERNATIVE AND JORDAN ALGEBRAS
    Popov, A. V.
    SIBERIAN MATHEMATICAL JOURNAL, 2021, 62 (01) : 148 - 158
  • [23] JORDAN ALGEBRAS OF SYMMETRIC MATRICES
    Bik, A.
    Eisenmann, H.
    Sturmfels, B.
    MATEMATICHE, 2021, 76 (02): : 337 - 353
  • [24] Scorza varieties and Jordan algebras
    Chaput, PE
    INDAGATIONES MATHEMATICAE-NEW SERIES, 2003, 14 (02): : 169 - 182
  • [25] On a ternary generalization of Jordan algebras
    Kaygorodov, Ivan
    Pozhidaev, Alexander
    Saraiva, Paulo
    LINEAR & MULTILINEAR ALGEBRA, 2019, 67 (06) : 1074 - 1102
  • [26] Local orders in Jordan algebras
    Montaner, Fernando
    Paniello, Irene
    JOURNAL OF ALGEBRA, 2017, 485 : 45 - 76
  • [27] ON SEMITRANSITIVE JORDAN ALGEBRAS OF MATRICES
    Bernik, J.
    Drnovsek, R.
    Bukovsek, D. Kokol
    Kosir, T.
    Omladic, M.
    Radjavi, H.
    JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2011, 10 (02) : 319 - 333
  • [28] Spectral conditions on Lie and Jordan algebras of compact operators
    Kennedy, Matthew
    Radjavi, Heydar
    JOURNAL OF FUNCTIONAL ANALYSIS, 2009, 256 (10) : 3143 - 3157
  • [29] On vertex operator algebras associated to Jordan algebras of Hermitian type
    Zhao, Hongbo
    COMMUNICATIONS IN ALGEBRA, 2020, 48 (01) : 331 - 350
  • [30] New ternary versions of Jordan algebras
    Bremner, M
    ALGEBRA COLLOQUIUM, 2001, 8 (01) : 11 - 24