Non-weight modules over the BMS-Kac-Moody algebra

2025/07/03 by Chen, Qiufan, Guo, Cong
#17B10 #17B35 #17b65 #17b68 #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2507.02553

Abstract

In this paper, we construct and classify a class of non-weight modules over the BMS-Kac-Moody algebra, which are free modules of rank one when restricted to the universal enveloping algebra of the Cartan subalgebra (modulo center). We give the classification of such modules. Moreover, the irreducibility and the isomorphism classes of these modules are determined.

Citations

• Free field realization of the BMS Ising model
• Non-weight modules over the mirror Heisenberg-Virasoro algebra
• W-algebra W(2,2) and the vertex operator algebra L(1/2,0)⊗ L(1/2,0)

Related

• Module structure on U(\mathfrakh) for Kac-Moody algebras
• A class of non-weight modules over the super-BMS₃ algebra
• Non-weight modules over a Schrödinger-Virasoro type algebra
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• On non-weight representations of the N=2 superconformal algebras