GROUPS WITH TRIALITY

被引：14

作者：

Grishkov, Alexander N. ^{[1
,2
]}

Zavarnitsine, Andrei V. ^{[1
,3
]}

机构：

[1] Univ Sao Paulo, Dept Matemat, Caixa Postal 66281, BR-05311970 Sao Paulo, SP, Brazil

[2] Omsk State Univ, Omsk 644077, Russia

[3] Sobolev Inst Math, Novosibirsk 630090, Russia

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2006年 / 5卷 / 04期

基金：

巴西圣保罗研究基金会;

关键词：

Groups with triality; Moufang loops;

D O I：

10.1142/S021949880600182X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Groups with triality, which arose in the papers of Glauberman and Doro, are naturally connected with Moufang loops. In this paper, we describe all possible, in a sense, groups with triality associated with a given Moufang loop. We also introduce several universal groups with triality and discuss their properties.

引用

页码：441 / 463

页数：23

共 50 条

[41] Partial geometries and the triality quadric
De Clerck F.
Delanote M.
Journal of Geometry, 2000, 68 (1-2) : 34 - 47
[42] A Triality Pattern in Entanglement Theory
Cariello, Daniel
QUANTUM INFORMATION & COMPUTATION, 2024, 24 (01)
[43] Quarks and triality in a finite volume
Ghanbarpour, Milad
von Smekal, Lorenz
PHYSICAL REVIEW D, 2022, 106 (05)
[44] Triality and the homogeneous linearization of quasigroups
Smith, Jonathan D. H.
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION, 2025,
[45] Triality in minimal model holography
Gaberdiel, Matthias R.
Gopakumar, Rajesh
JOURNAL OF HIGH ENERGY PHYSICS, 2012, (07):
[46] A note on triality and symmetric compositions
Alberto Elduque
Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, 2000, 70 : 125 - 135
[47] Triality in minimal model holography
Matthias R. Gaberdiel
Rajesh Gopakumar
Journal of High Energy Physics, 2012
[48] A note on triality and symmetric compositions
Elduque, A
ABHANDLUNGEN AUS DEM MATHEMATISCHEN SEMINAR DER UNIVERSITAT HAMBURG, 2000, 70 (1): : 125 - 135
[49] Triality and Bagger-Lambert theory
Nishino, Hitoshi
Rajpoot, Subhash
PHYSICS LETTERS B, 2009, 671 (03) : 415 - 421
[50] NONABELIAN BOSONIZATION, TRIALITY, AND SUPERSTRING THEORY
NEPOMECHIE, RI
PHYSICS LETTERS B, 1986, 178 (2-3) : 207 - 210

← 1 2 3 4 5 →