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Journal of Lie Theory 15 (2005), No. 2, 505--520
Copyright Heldermann Verlag 2005

On Prime Z-graded Lie Algebras of Growth One

Consuelo Martínez
Dep. de Matemáticas, Universidad de Oviedo, C/ Calvo Sotelo, 33007 Oviedo, Spain


We will give the structure of $\mathbb Z$-graded prime nondegenerate algebras $L = \sum_{i\in\mathbb Z} L_i$ 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.

MSC: 17B60; 17B70, 17C50

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