Reduced contragredient Lie algebras and PC Lie algebras

Abstract

The first aim of this paper is to show that any finite-dimensional reductive Lie algebra and its finite-dimensional completely reducible representation can be embedded into some PC Lie algebra. The second aim is to find the structure of a PC Lie algebra.

References in corpus (2)

• Lie algebras constructed with Lie modules and their positively and negatively graded modules
• Contragredient Lie algebras and Lie algebras associated with a standard pentad

Cited by in corpus (1)

• Graded Lie algebras and regular prehomogeneous vector spaces with one-dimensional scalar multiplication