skip@mathcs.emory.edu, Holger.Petersson@FernUni-Hagen.de

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 E_{6}, 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