Groups of outer type E6 with trivial Tits algebras
- 54 Downloads
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
Unable to display preview. Download preview PDF.