U(h)-free modules over the super-Galilean conformal algebras-Reference-Cited by-同舟云学术

U(h)-free modules over the super-Galilean conformal algebras

Published:2022-06-01 Issue:6 Volume:63 Page:061701
ISSN:0022-2488
Container-title:Journal of Mathematical Physics
language:en
Short-container-title:J. Math. Phys.

Author:

Xie Qiang¹,Sun Jiancai¹^ORCID,Yang Hengyun²

Affiliation:

1. Department of Mathematics, Shanghai University, Shanghai 200444, China

2. Department of Mathematics, Shanghai Maritime University, Shanghai 201306, China

Abstract

In this paper, we study non-weight modules over the super-Galilean conformal algebra. We construct and classify [Formula: see text]-free modules of rank 1 over the Ramond-type algebra and [Formula: see text]-free modules of rank 2 over the Neveu–Schwarz-type algebra, where [Formula: see text] is a subalgebra of the Ramond-type algebra and [Formula: see text] is the Cartan algebra of the Neveu–Schwarz-type algebra. We find that these modules are reducible and isomorphic.

Funder

National Natural Science Foundation of China

Publisher

AIP Publishing

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Link

https://aip.scitation.org/doi/pdf/10.1063/5.0094552

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