Skip Garibaldi, Holger P. Petersson: Groups of outer type E6 with trivial Tits algebras,

Submission: 2006, Mar 3

In two 1966 papers, Jacques 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?

2000 Mathematics Subject Classification:

Keywords and Phrases:

Full text: dvi.gz 56 k, dvi 133 k, ps.gz 776 k, pdf.gz 234 k, pdf 275 k.

Server Home Page