Transformation Groups

, Volume 12, Issue 3, pp 443–474 | Cite as

Groups of outer type E6 with trivial Tits algebras

  • Skip Garibaldi
  • Holger P. Petersson


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?


Algebraic Group Jordan Algebra Dynkin Diagram Primitive Idempotent Composition Algebra 
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Copyright information

© Birkhauser Boston 2007

Authors and Affiliations

  1. 1.Department of Mathematics & Computer Science, Emory UniversityAtlanta, GA 30322USA
  2. 2.Fakultat fur Mathematik und Informatik, Fern Universitat in HagenD-58084 HagenGermany

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