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Extensions of Schrödinger–Virasoro conformal modules
Authors:Lamei Yuan  Kaijing Ling
Institution:Department of Mathematics, Harbin Institute of Technology, Harbin, China
Abstract: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.
Keywords:Conformal module  extended Schrödinger–Virasoro conformal algebra  extension  Schrödinger–Virasoro conformal algebra
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