Fine gradings on simple classical Lie algebras

By Alberto Elduque. 2009

76 citations recorded by the source corpus.

Abstract The fine abelian group gradings on the simple classical Lie algebras (including D 4 ) 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.

Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/f5d1259be4fa92bd088847c37de62fe72c026650