Results 1 
3 of
3
TRIPLES, ALGEBRAS AND COHOMOLOGY
 REPRINTS IN THEORY AND APPLICATIONS OF CATEGORIES
, 2003
"... ..."
H.P.Petersson: Groups of outer type E6 with trivial Tits algebras, Transformation Groups
"... Abstract. In two 1966 papers, J. Tits gave a construction of exceptional Lie algebras (hence implicitly exceptional algebraic groups) and a classification of possible indexes of simple algebraic groups. For the special case of his construction that gives groups of type E6, we connect the two papers ..."
Abstract

Cited by 4 (1 self)
 Add to MetaCart
Abstract. In two 1966 papers, J. Tits gave a construction of exceptional Lie algebras (hence implicitly exceptional algebraic groups) and a classification of possible indexes of simple algebraic groups. For the special case of his construction that gives groups of type E6, we connect the two papers by answering the question: Given an Albert algebra A and a separable quadratic field extension K, what is the index of the resulting algebraic group? This article links two 1966 papers by Jacques Titsâ€”namely, [Ti 66a] and [Ti 66b]â€”concerning simple linear algebraic groups over a field k. In the first paper, he gave a construction that takes a composition algebra K and a degree 3 Jordan algebra A and produces a simple algebraic group G(A, K). The KillingCartan type of the resulting group is given by the famous magic square: dim A
Contents
, 2005
"... Abstract. In two 1966 papers, J. Tits gave a construction of exceptional Lie algebras (hence implicitly exceptional algebraic groups) and a classification of possible indexes of simple algebraic groups. For the special case of his construction that gives groups of type E6, we connect the two papers ..."
Abstract
 Add to MetaCart
Abstract. In two 1966 papers, J. Tits gave a construction of exceptional Lie algebras (hence implicitly exceptional algebraic groups) and a classification of possible indexes of simple algebraic groups. For the special case of his construction that gives groups of type E6, we connect the two papers by answering the question: Given an Albert algebra A and a separable quadratic field extension K, what is the index of the resulting algebraic group?