Journal of Lie Theory

no. 2
On Prime Z-graded Lie Algebras of Growth One
Journal of Lie Theory, Volume 15 (2005) no. 2, pp. 505-520
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.
DOI: 10.5802/jolt.388
Classification: 17B60, 17B70, 17C50
Keywords: Z-graded Lie algebra, strongly PI, prime, nondegenerate, Virasoro algebra, loop algebra, growth, Jordan pair 
@article{JOLT_2005_15_2_a8,
     author = {C. Mart{\'\i}nez},
     title = {On {Prime} {Z-graded} {Lie} {Algebras} of {Growth} {One}},
     journal = {Journal of Lie Theory},
     pages = {505--520},
     year = {2005},
     volume = {15},
     number = {2},
     doi = {10.5802/jolt.388},
     zbl = {1068.17008},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.388/}
}
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C. Martínez. On Prime Z-graded Lie Algebras of Growth One. Journal of Lie Theory, Volume 15 (2005) no. 2, pp. 505-520. doi: 10.5802/jolt.388

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