SIGMA 8 (2012), 038, 18 pages      arXiv:1206.6173      https://doi.org/10.3842/SIGMA.2012.038

On Free Pseudo-Product Fundamental Graded Lie Algebras

Tomoaki Yatsui
Department of Mathematics, Asahikawa Medical University, Asahikawa 078-8510, Japan

Received December 16, 2011, in final form June 14, 2012; Published online June 27, 2012

Abstract
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.

Key words: fundamental graded Lie algebra; prolongation; pseudo-product graded Lie algebra.

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