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A class of uniformly bounded simple $\mathbb{Z}$-graded Lie conformal algebras

Published 22 Nov 2022 in math.RA | (2211.11996v2)

Abstract: In this paper, we classify the following simple $\mathbb{Z}$-graded Lie conformal algebras $\mathcal{L}=\bigoplus_{i\in \mathbb{Z}}\mathcal{L}_i$ such that (1)$rank\mathcal{L}_i\leq 1$, (2)$\mathcal{L}_0$ is the Virasoro Lie conformal algebra.

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