Abelian ideals in a Borel subalgebra of a complex simple Lie algebra

Abstract

Let g be a complex simple Lie algebra and b a fixed Borel subalgebra of g. We shall describe the abelian ideals of b in a uniform way, that is, independent of the classification of complex simple Lie algebras.

43 pages, LaTeX2e, youngtab.sty

References in corpus (3)

• B-stable ideals in the nilradical of a Borel subalgebra
• Abelian ideals of a Borel subalgebra and long positive roots
• ad-nilpotent ideals of a Borel subalgebra III

Cited by in corpus (5)

• Tree Diagram Lie Algebras of Differential Operators and Evolution Partial Differential Equations
• The poset of positive roots and its relatives
• Abelian ideals with given dimension in Borel subalgebras
• Abelian Ideals and Cohomology of Symplectic Type
• Minimal faithful representations of reductive Lie algebras