Schrödinger-Virasoro共形模的扩张
Extensions of Schrödinger-Virasoro conformal modules
摘要：
本文研究了Schrödinger-Virasoro共形代数和广义Schrödinger-Virasoro共形代数上两个有限不可约共形模之间的扩张.此外，我们分类所有有限非平凡的不可约共形模上的扩展的Schrödinger-Virasoro共形代数。作为副产品，我们得到了Heisenberg-Virasoro共形模的扩张的分类。
英文摘要：
In this paper, we study extensions between two finite irreducible conformal modules over the Schrödinger-Virasoro conformal algebra and the extended Schrödinger-Virasoro conformal algebra. Also, we classify all finite nontrivial irreducible conformal modules over the extended Schrödinger-Virasoro conformal algebra. As a byproduct, we obtain a classification of extensions of Heisenberg-Virasoro conformal modules.
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