Advertisement

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
Article

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?

Keywords

Algebraic Group Jordan Algebra Dynkin Diagram Primitive Idempotent Composition Algebra 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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

Personalised recommendations