A class of non-weight modules over the super-BMS<sub>3</sub> algebra-Reference-Cited by-同舟云学术

A class of non-weight modules over the super-BMS₃ algebra

Published:2023-06-27 Issue: Volume: Page:
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Chen Haibo¹²,Dai Xiansheng³,Liu Ying²,Su Yucai¹⁴

Affiliation:

1. Department of Mathematics, Jimei University, Xiamen, Fujian 361021, P. R. China

2. School of Statistics and Mathematics, Shanghai Lixin University of Accounting and Finance, Shanghai 201209, P. R. China

3. School of Mathematical Sciences, Guizhou Normal University, Guiyang 550001, P. R. China

4. School of Mathematical Sciences, Tongji University, Shanghai 200092, P. R. China

Abstract

In the present paper, non-weight modules over the super-BMS3 algebras [Formula: see text] ([Formula: see text] or [Formula: see text]) are constructed. Assume that [Formula: see text] and [Formula: see text] are the Cartan subalgebra (modulo center) of [Formula: see text] and [Formula: see text], respectively. These modules over [Formula: see text] when restricted to the [Formula: see text] are free of rank [Formula: see text], while these modules over [Formula: see text] when restricted to the [Formula: see text] are free of rank [Formula: see text]. Then we determine the necessary and sufficient conditions for these modules being simple, as well as determining the necessary and sufficient conditions for two [Formula: see text]-modules being isomorphic.

Funder

National Natural Science Foundation of China

Anhui Provincial Natural Science Research Program for Institutions of Higher Learning

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498824502220

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