Z x Z-graded Lie algebras generated by the Virasoro algebra and $sl_2$

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dc.creatorSu, Yucai
dc.creatorZhang, Jiengfeng
dc.creatorZhao, Kaiming
dc.date2003-04-03
dc.date.accessioned2026-07-07T04:56:35Z
dc.date.available2026-07-07T04:56:35Z
dc.descriptionThe present paper is another step toward the classification of $\Z\times\Z$-graded Lie algebras: we classify $\Z\times\Z$-graded Lie algebras $A=\oplus_{i,j\in\Z}A_{i,j}$ over a field $F$ of characteristic 0 with dim $A_{i,j}\le1$ for $i,j\in\Z$, satisfying: (1) $Å_0=\oplus_{i\in \Z}Å_{i,0}$ is isomorphic to the centerless Virasoro algebra, (2) $A_{0,-1},A_{0,0},A_{0,1}$ span the 3-dimensional simple Lie algebra $sl_2$, (3) $A$ is generated by the centerless Virasoro algebra and $sl_2$. These algebras include some rank 2 centerless Virasoro algebras, and some rank 2 Block algebras and their extensions.
dc.description13 pages, latex
dc.identifierhttps://arxiv.org/abs/math/0304035
dc.identifierhttp://arxiv.org/abs/math/0304035
dc.identifierMath. Nach. 246/247 (2002), 188-201
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66970
dc.subjectQuantum Algebra
dc.subject17B36
dc.titleZ x Z-graded Lie algebras generated by the Virasoro algebra and $sl_2$
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