English

On the real forms of the exceptional Lie algebra $ \mathfrak{e}_6$ and their Satake diagrams

Rings and Algebras 2014-12-05 v1

Abstract

Satake diagrams of the real forms e6,26 \mathfrak{e}_{6,-26}, e6,14 \mathfrak{e}_{6,-14} and e6,2 \mathfrak{e}_{6,2} are carefully developed. The first real form is constructed with an Albert algebra and the other ones by using the two paraoctonion algebras and certain symmetric construction of the magic square.

Keywords

Cite

@article{arxiv.1412.1659,
  title  = {On the real forms of the exceptional Lie algebra $ \mathfrak{e}_6$ and their Satake diagrams},
  author = {Cristina Draper and Valerio Guido},
  journal= {arXiv preprint arXiv:1412.1659},
  year   = {2014}
}