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arXiv · 2608.08651

A new class of irreducible modules over the BMS-Kac-Moody algebra

Qiu-Fan Chen·Yi-Jun Bai
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Abstract

In this paper, we construct a class of non-weight modules over the BMS-Kac-Moody algebra by taking tensor products of finitely many irreducible modules $\Phi(\lambda,\a,\b,\r,h(t))$ with irreducible restricted modules. We obtain the necessary and sufficient conditions for these tensor product modules to be irreducible, and determine the corresponding conditions for two such modules to be isomorphic. Moreover, we compare these modules with other known non-weight modules, showing that these irreducible modules are new.

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BibTeXRIS

Qiu-Fan Chen, Yi-Jun Bai. 2026-08-09. A new class of irreducible modules over the BMS-Kac-Moody algebra. https://arxiv.org/abs/2608.08651

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