The projective geometry of Freudenthal's magic square
Algebraic Geometry
2007-05-23 v1 Differential Geometry
Representation Theory
Abstract
We connect the algebraic geometry and representation theory associated to Freudenthal's magic square. We give unified geometric descriptions of several classes of orbit closures, describing their hyperplane sections and desingularizations, and interpreting them in terms of composition algebras. In particular, we show how a class of invariant quartic polynomials can be viewed as generalizations of the classical discriminant of a cubic polynomial.
Cite
@article{arxiv.math/9908039,
title = {The projective geometry of Freudenthal's magic square},
author = {J. M. Landsberg and L. Manivel},
journal= {arXiv preprint arXiv:math/9908039},
year = {2007}
}
Comments
30 pages, LaTeX2e