Simple modules of the planar Galilean conformal algebra from tensor products
Representation Theory
2025-07-30 v1
Abstract
This paper is devoted to constructing simple modules of the planar Galilean conformal algebra. We study the tensor products of finitely many simple -free modules with an arbitrary simple restricted module, where is the Cartan subalgebra. We establish necessary and sufficient conditions for simplicity and determine the corresponding isomorphism classes.
Keywords
Cite
@article{arxiv.2507.21930,
title = {Simple modules of the planar Galilean conformal algebra from tensor products},
author = {Dashu Xu},
journal= {arXiv preprint arXiv:2507.21930},
year = {2025}
}
Comments
10 pages