Groups of outer type E6 with trivial Tits algebras
Group Theory
2009-05-23 v1 Rings and Algebras
Abstract
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?
Keywords
Cite
@article{arxiv.math/0511229,
title = {Groups of outer type E6 with trivial Tits algebras},
author = {Skip Garibaldi and Holger P. Petersson},
journal= {arXiv preprint arXiv:math/0511229},
year = {2009}
}
Comments
29 pages. For possibly newer versions, see http://www.mathcs.emory.edu/~skip/preprints.html