Groups of outer type E6 with trivial Tits algebras

Details Groups of outer type E6 with trivial Tits algebras Groups of outer type E6 with trivial Tits algebras

2005-11-09

arxiv.org/abs/math/0511229v1

Transformation Groups 12 #3 (2007), 443-474

Mathematics

Group Theory

29 pages. For possibly newer versions, see http://www.mathcs.emory.edu/~skip/preprints.html

Scientific paper

10.1007/s00031-006-0051-2

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?

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