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A Category of Restricted Modules for the Ovisenko-Roger Algebra |
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| Authors: | Liu Dong Pei Yufeng Xia Limeng |
| Institution: | 1.Department of Mathematics, Huzhou University, Zhejiang, Huzhou, 313000, China ;2.Department of Mathematics, Shanghai Normal University, Shanghai, 200234, Shanghai, China ;3.Institute of Applied System Analysis, Jiangsu University, Zhengjiang, 212013, Jiangsu, China ; |
| Abstract: | In this paper, we study a category of restricted modules for the Ovsienko-Roger algebra, which is an extension of the Virasoro algebra of its tensor density module of degree one. We construct and characterize simple modules in this category and give natural free field realizations of certain restricted modules using the Weyl vertex algebra. |
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