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arxiv: 1809.04796 · v2 · pith:H6PFXBICnew · submitted 2018-09-13 · 🧮 math.RA

Extensions of Schr\"odinger-Virasoro conformal modules

Lamei Yuan , Kaijing Ling This is my paper
classification 🧮 math.RA
keywords conformalmodulesodinger-virasoroschralgebraextensionsextendedfinite
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In this paper, we study extensions between two finite irreducible conformal modules over the Schr\"odinger-Virasoro conformal algebra and the extended Schr\"odinger-Virasoro conformal algebra. Also, we classify all finite nontrivial irreducible conformal modules over the extended Schr\"odinger-Virasoro conformal algebra. As a byproduct, we obtain a classification of extensions of Heisenberg-Virasoro conformal modules.

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  1. Extensions of finite irreducible modules of Lie conformal algebras $\mathcal{W}(a,b)$ and some Schr\"{o}dinger-Virasoro type Lie conformal algebras

    math.RT 2019-07 unverdicted novelty 6.0

    Complete classification of extensions of finite irreducible conformal modules for W(a,b), TSV(a,b) and TSV(c) via case analysis of possible module structures.