The projective geometry of Freudenthal's magic square Academic Article

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. 2001 Academic Press.

authors

• Landsberg, Joseph

published proceedings

• JOURNAL OF ALGEBRA

altmetric score

• 3

author list (cited authors)

• Landsberg, J. M., & Manivel, L.

citation count

• 53

complete list of authors

• Landsberg, JM||Manivel, L

publication date

• January 2001

publisher

• Elsevier  Publisher

published in

• Journal of Algebra  Journal

keywords

• Math.ag
• Math.dg
• Math.rt

Digital Object Identifier (DOI)

• 10.1006/jabr.2000.8697

start page

• 477

end page

• 512

volume

• 239

issue

• 2

URL

• http://dx.doi.org/10.1006/jabr.2000.8697