The classical Tits construction provides models of the exceptional simple Lie algebras in terms of a unital composition algebra and a degree three simple Jordan algebra. A couple of actions of the symmetric group S4 on this construction are given. By means of these actions, the models provided by the Tits construction are related to models of the exceptional Lie algebras obtained from two different types of structurable algebras. Some models of exceptional Lie superalgebras are discussed too
16 pages [v2: references added, last section expanded)We give criteria for real, complex and quatern...
16 pages [v2: references added, last section expanded)We give criteria for real, complex and quatern...
16 pages [v2: references added, last section expanded)We give criteria for real, complex and quatern...
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...
This paper is concerned with the description of exceptional simple Lie algebras as octonionic analog...
A representation of the exceptional Lie algebras is presented. It reflects a simple unifying view an...
AbstractWe describe the models of the exceptional Lie algebra F4 which are based on its semisimple s...
This thesis is a resolution of three related problems proposed by Yu. I. Manin and V. Kac for the so...
Abstract.A simple unifying view of the exceptional Lie algebras is pre-sented. The underlying Jordan...
The well-known Tits construction provides models of the exceptional simple Lie algebras using, as in...
Abstract. In two 1966 papers, J. Tits gave a construction of exceptional Lie algebras (hence implici...
16 pages [v2: references added, last section expanded)We give criteria for real, complex and quatern...
16 pages [v2: references added, last section expanded)We give criteria for real, complex and quatern...
16 pages [v2: references added, last section expanded)We give criteria for real, complex and quatern...
16 pages [v2: references added, last section expanded)We give criteria for real, complex and quatern...
16 pages [v2: references added, last section expanded)We give criteria for real, complex and quatern...
16 pages [v2: references added, last section expanded)We give criteria for real, complex and quatern...
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...
This paper is concerned with the description of exceptional simple Lie algebras as octonionic analog...
A representation of the exceptional Lie algebras is presented. It reflects a simple unifying view an...
AbstractWe describe the models of the exceptional Lie algebra F4 which are based on its semisimple s...
This thesis is a resolution of three related problems proposed by Yu. I. Manin and V. Kac for the so...
Abstract.A simple unifying view of the exceptional Lie algebras is pre-sented. The underlying Jordan...
The well-known Tits construction provides models of the exceptional simple Lie algebras using, as in...
Abstract. In two 1966 papers, J. Tits gave a construction of exceptional Lie algebras (hence implici...
16 pages [v2: references added, last section expanded)We give criteria for real, complex and quatern...
16 pages [v2: references added, last section expanded)We give criteria for real, complex and quatern...
16 pages [v2: references added, last section expanded)We give criteria for real, complex and quatern...
16 pages [v2: references added, last section expanded)We give criteria for real, complex and quatern...
16 pages [v2: references added, last section expanded)We give criteria for real, complex and quatern...
16 pages [v2: references added, last section expanded)We give criteria for real, complex and quatern...