EMIS ELibM Electronic Journals Journal of Lie Theory
Vol. 15, No. 2, pp. 505–520 (2005)

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On Prime Z-graded Lie algebras of growth one

Consuelo Martínez

Consuelo Martínez
Departamento de Matemáticas
Universidad de Oviedo
C/ Calvo Sotelo, s/n
33007 Oviedo SPAIN
chelo@pinon.ccu.uniovi.es

Abstract: We will give the structure of $\Z$-graded prime nondegenerate algebras $L = \sum_{i\in\Z} L_i$ containing the Virasoro algebra and having the dimensions of the homogeneous components, $\dim L_i$, uniformely bounded.

Keywords: Z-graded Lie algebra, strongly PI, prime, nondegenerate, Virasoro algebra, loop algebra, growth, Jordan pair

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