Add to ORKGAbstract.A simple unifying view of the exceptional Lie algebras is pre-sented. The underlying Jordan pair content and role are exhibited. Each algebra contains three Jordan pairs sharing the same Lie algebra of automor-phisms and the same external su(3) symmetry. Eventual physical applications and implications of the theory are outlined.
AbstractThis paper is concerned with the description of exceptional simple Lie algebras as octonioni...
Given a 3-graded Lie algebra L = L−1 ⊕ L0 ⊕ L1, the formula {x, y, z} = [[x, y], z] defines a Jorda...
We give an elementary treatment of the defining representation and Lie algebra of the three-dimensio...
A representation of the exceptional Lie algebras is presented. It reflects a simple unifying view an...
The theory of Jordan algebras has played important roles behind the scenes of several areas of mathe...
AbstractWe introduce notions of Jordan–Lie super algebras and Jordan–Lie triple systems as well as d...
By exploiting the Jordan pair structure of U-duality Lie algebras in D = 3 and the relation to the s...
This book explores applications of Jordan theory to the theory of Lie algebras. It begins with the g...
AbstractBased on an interpretation of the quark–lepton symmetry in terms of the unimodularity of the...
Based on an interpretation of the quark–lepton symmetry in terms of the unimodularity of the color g...
The geometry of Jordan and Lie structures tries to answer the following question: what is the integr...
International audienceWe continue the study undertaken in Ref. 16 of the exceptional Jordan algebra ...
The classical Tits construction provides models of the exceptional simple Lie algebras in terms of a...
AbstractThe class of so-called Lie–Jordan algebras, which have one binary (Lie) operation [x,y] and ...
The classical Tits construction provides models of the exceptional simple Lie algebras in terms of a...
AbstractThis paper is concerned with the description of exceptional simple Lie algebras as octonioni...
Given a 3-graded Lie algebra L = L−1 ⊕ L0 ⊕ L1, the formula {x, y, z} = [[x, y], z] defines a Jorda...
We give an elementary treatment of the defining representation and Lie algebra of the three-dimensio...
A representation of the exceptional Lie algebras is presented. It reflects a simple unifying view an...
The theory of Jordan algebras has played important roles behind the scenes of several areas of mathe...
AbstractWe introduce notions of Jordan–Lie super algebras and Jordan–Lie triple systems as well as d...
By exploiting the Jordan pair structure of U-duality Lie algebras in D = 3 and the relation to the s...
This book explores applications of Jordan theory to the theory of Lie algebras. It begins with the g...
AbstractBased on an interpretation of the quark–lepton symmetry in terms of the unimodularity of the...
Based on an interpretation of the quark–lepton symmetry in terms of the unimodularity of the color g...
The geometry of Jordan and Lie structures tries to answer the following question: what is the integr...
International audienceWe continue the study undertaken in Ref. 16 of the exceptional Jordan algebra ...
The classical Tits construction provides models of the exceptional simple Lie algebras in terms of a...
AbstractThe class of so-called Lie–Jordan algebras, which have one binary (Lie) operation [x,y] and ...
The classical Tits construction provides models of the exceptional simple Lie algebras in terms of a...
AbstractThis paper is concerned with the description of exceptional simple Lie algebras as octonioni...
Given a 3-graded Lie algebra L = L−1 ⊕ L0 ⊕ L1, the formula {x, y, z} = [[x, y], z] defines a Jorda...
We give an elementary treatment of the defining representation and Lie algebra of the three-dimensio...