Groups of outer type E6 with trivial Tits algebras
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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?
KeywordsAlgebraic Group Jordan Algebra Dynkin Diagram Primitive Idempotent Composition Algebra
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