English

Symmetries on the real form $\mathfrak e_{6,-26}$

Rings and Algebras 2019-09-04 v1

Abstract

We describe four fine gradings on the real form e6,26\mathfrak e_{6,-26}. They are precisely the gradings whose complexifications are fine gradings on the complexified algebra e6\mathfrak{e}_6. The universal grading groups are Z26\mathbb Z_2^6, Z×Z24\mathbb Z\times\mathbb Z_2^4, Z2×Z23\mathbb Z^2\times\mathbb Z_2^3, and Z4×Z24\mathbb Z_4\times\mathbb Z_2^4.

Keywords

Cite

@article{arxiv.1511.02441,
  title  = {Symmetries on the real form $\mathfrak e_{6,-26}$},
  author = {Cristina Draper and Valerio Guido},
  journal= {arXiv preprint arXiv:1511.02441},
  year   = {2019}
}

Comments

24 pages

R2 v1 2026-06-22T11:39:53.028Z