English

Gradings on the real form $\mathfrak{e}_{6,-14}$

Rings and Algebras 2019-09-04 v1

Abstract

Six fine gradings on the real form e6,14\mathfrak{e}_{6,-14} are described, precisely those ones coming from fine gradings on the complexified algebra. The universal grading groups are Z23×Z32\mathbb Z_2^3\times\mathbb Z_3^2, Z26\mathbb Z_2^6, Z×Z24\mathbb Z\times\mathbb Z_2^4, Z27\mathbb Z_2^7, Z×Z25\mathbb Z\times\mathbb Z_2^5 and Z2×Z23\mathbb Z^2\times\mathbb Z_2^3.

Cite

@article{arxiv.1806.08580,
  title  = {Gradings on the real form $\mathfrak{e}_{6,-14}$},
  author = {Cristina Draper and Valerio Guido},
  journal= {arXiv preprint arXiv:1806.08580},
  year   = {2019}
}

Comments

27 pages

R2 v1 2026-06-23T02:38:15.142Z