Generalised nice sets
Combinatorics
2024-12-17 v1 Rings and Algebras
Abstract
A new combinatorial object, called generalised nice set, is classified up to collineations of the Fano plane. This classification is necessary to find the graded contractions of all the exceptional complex Lie algebras of dimension at least 52, endowed with -gradings coming from the octonions. Our classification is of purely combinatorial nature.
Cite
@article{arxiv.2412.11287,
title = {Generalised nice sets},
author = {Cristina Draper and Thomas L. Meyer and Juana Sánchez-Ortega},
journal= {arXiv preprint arXiv:2412.11287},
year = {2024}
}
Comments
41 pages