On Free Pseudo-Product Fundamental Graded Lie Algebras

[摘要] In this paper we first state the classification of the prolongations of complex free fundamental graded Lie algebras. Next we introduce the notion of free pseudo-product fundamental graded Lie algebras and study the prolongations of complex free pseudo-product fundamental graded Lie algebras. Furthermore we investigate the automorphism group of the prolongation of complex free pseudo-product fundamental graded Lie algebras.

[关键词] fundamental graded Lie algebra;prolongation;pseudo-product graded Lie algebra