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Groups of outer type E6 with trivial Tits algebras

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Abstract

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?

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Authors and Affiliations

  1. Department of Mathematics & Computer Science, Emory University, Atlanta, GA 30322, USA

    Skip Garibaldi

  2. Fakultat fur Mathematik und Informatik, Fern Universitat in Hagen, D-58084 Hagen, Germany

    Holger P. Petersson

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  1. Skip Garibaldi
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  2. Holger P. Petersson
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Correspondence to Skip Garibaldi or Holger P. Petersson.

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Garibaldi, S., Petersson, H. Groups of outer type E6 with trivial Tits algebras. Transformation Groups 12, 443–474 (2007). https://doi.org/10.1007/s00031-006-0051-2

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  • DOI: https://doi.org/10.1007/s00031-006-0051-2

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