Magic Squares of Lie Algebras

Abstract

An improved (streamlined and extended) version of this paper is available as math.RA/0203010, which however omits some details. We recommend the later version unless details are essential.

Theorems 1 and 3 corrected (theta replaced by its inverse)

References in corpus (2)

• On characteristic equations, trace identities and Casimir operators of simple Lie algebras
• Capelli elements in the classical universal enveloping algebras

Cited by in corpus (9)

• Spin(11,3), particles and octonions
• Trialities and Exceptional Lie Algebras: DECONSTRUCTING the Magic Square
• Klein and Conformal Superspaces, Split Algebras and Spinor Orbits
• An extended Freudenthal Magic Square in characteristic 3
• The sextonions and $E_{7\frac{1}{2}}$
• Magic squares and matrix models of Lie algebras
• Iwasawa nilpotency degree of non compact symmetric cosets in N-extended Supergravity
• The Magic Square and Symmetric Compositions II
• Triality, exceptional Lie algebras and Deligne dimension formulas