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arXiv · 2507.21930

Simple modules of the planar Galilean conformal algebra from tensor products

Dashu Xu
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Abstract

This paper is devoted to constructing simple modules of the planar Galilean conformal algebra. We study the tensor products of finitely many simple $\mathcal{U}(\mathcal{H})$-free modules with an arbitrary simple restricted module, where $\mathcal{H}$ is the Cartan subalgebra. We establish necessary and sufficient conditions for simplicity and determine the corresponding isomorphism classes.

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Dashu Xu. 2025-07-29. Simple modules of the planar Galilean conformal algebra from tensor products. https://arxiv.org/abs/2507.21930

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