A Rank 7 Pfaffian System on a 15-Dimensional Manifold with f4 Symmetry Algebra

Authors

Ian M. Anderson, Utah State UniversityFollow

Document Type

Article

Publication Date

1-7-2015

Abstract

Let I be a differential system on a manifold M. The infinitesimal symmetry algebra of I is the set of all vectors fields X on M such that preserve I. In this worksheet we present an example, due to E. Cartan of a rank 7 Pfaffian system on a 15-dimensional manifold whose infinitesimal symmetry algebra is the split real form of the exceptional Lie algebra f4 .

Recommended Citation

Anderson, Ian M., "A Rank 7 Pfaffian System on a 15-Dimensional Manifold with f4 Symmetry Algebra" (2015). Tutorials on... in 1 hour or less. Paper 4.
https://digitalcommons.usu.edu/dg_tutorial/4