scholarly journals Structure of simple multiplicative Hom-Jordan algebras

2021 ◽  
pp. 143-170
Author(s):  
Chenrui Yao ◽  
Yao Ma ◽  
Liangyun Chen
Keyword(s):  
Jordan Algebras

Reducibly free nonspecial Jordan algebras

1989 ◽  
Vol 30 (1) ◽  
pp. 159-160 ◽  
Author(s):  
S. R. Sverchkov
Keyword(s):  
Jordan Algebras

Multiplicative-Semiprimeness of Nondegenerate Jordan Algebras

2004 ◽  
Vol 32 (10) ◽  
pp. 3995-4003 ◽  
Author(s):  
M. Cabrera ◽  
A. R. Villena
Keyword(s):  
Jordan Algebras

scholarly journals Some inertia theorems in Euclidean Jordan algebras

2009 ◽  
Vol 430 (8-9) ◽  
pp. 1992-2011 ◽  
Author(s):  
M. Seetharama Gowda ◽  
Jiyuan Tao ◽  
Melania Moldovan
Keyword(s):  
Jordan Algebras ◽  
Euclidean Jordan Algebras

Tits polygons

2022 ◽  
Vol 275 (1352) ◽  
Author(s):  
Bernhard Mühlherr ◽  
Richard Weiss ◽  
Holger Petersson
Keyword(s):  
Rational Points ◽  
Jordan Algebras ◽  
Parabolic Subgroups ◽  
Characteristic P ◽  
Arbitrary Group ◽  
Content Type ◽  
Defining Relations ◽  
Moufang Condition ◽  
Unique Vertex ◽  
Natural Way

We introduce the notion of a Tits polygon, a generalization of the notion of a Moufang polygon, and show that Tits polygons arise in a natural way from certain configurations of parabolic subgroups in an arbitrary spherical buildings satisfying the Moufang condition. We establish numerous basic properties of Tits polygons and characterize a large class of Tits hexagons in terms of Jordan algebras. We apply this classification to give a “rank  2 2 ” presentation for the group of F F -rational points of an arbitrary exceptional simple group of F F -rank at least  4 4 and to determine defining relations for the group of F F -rational points of an an arbitrary group of F F -rank  1 1 and absolute type D 4 D_4 , E 6 E_6 , E 7 E_7 or E 8 E_8 associated to the unique vertex of the Dynkin diagram that is not orthogonal to the highest root. All of these results are over a field of arbitrary characteristic.

Nilpotency of Alternative and Jordan Algebras

2021 ◽  
Vol 62 (1) ◽  
pp. 148-158
Author(s):  
A. V. Popov
Keyword(s):  
Jordan Algebras
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