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This article is cited in 3 scientific papers (total in 3 papers)
On free pseudo-product fundamental graded Lie algebras
Tomoaki Yatsui Department of Mathematics, Asahikawa Medical University, Asahikawa 078-8510, Japan
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.
Keywords:
fundamental graded Lie algebra, prolongation, pseudo-product graded Lie algebra.
Received: December 16, 2011; in final form June 14, 2012; Published online June 27, 2012
Citation:
Tomoaki Yatsui, “On free pseudo-product fundamental graded Lie algebras”, SIGMA, 8 (2012), 038, 18 pp.
Linking options:
https://www.mathnet.ru/eng/sigma715 https://www.mathnet.ru/eng/sigma/v8/p38
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