Fine gradings on simple classical Lie algebras
Rings and Algebras
2009-10-19 v2
Abstract
The fine abelian group gradings on the simple classical Lie algebras (including D4) over algebraically closed fields of characteristic 0 are determined up to equivalence. This is achieved by assigning certain invariant to such gradings that involve central graded division algebras and suitable sesquilinear forms on free modules over them.
Cite
@article{arxiv.0906.0655,
title = {Fine gradings on simple classical Lie algebras},
author = {Alberto Elduque},
journal= {arXiv preprint arXiv:0906.0655},
year = {2009}
}
Comments
40 pages. A few arguments have been expanded and some misprints corrected