Groups of outer type E6 with trivial Tits algebras
In two 1966 papers, Jacques 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?
Skip Garibaldi < skip@mathcs.emory.edu >
Holger P. Petersson < Holger.Petersson@FernUni-Hagen.de >