Verma modules over generalized Virasoro algebras Vir[G]

Jun Hu; Xian Dong Wang; Kai Ming Zhao

doi:10.1016/S0022-4049(02)00173-1

Verma modules over generalized Virasoro algebras Vir[G]

Jun Hu^*, Xian Dong Wang, Kai Ming Zhao

^*此作品的通讯作者

数学学院

科研成果: 期刊稿件 › 文章 › 同行评审

27 引用（Scopus）

摘要

Let F be a field of characteristic 0, not necessarily algebraically closed, and G be an additive subgroup of F. For any total order on G which is compatible with the group addition, and for any c, h ε F, a Verma module M̃(c, h) over the generalized Virasoro algebra Vir[G] is defined. In the present paper, the irreducibility of Verma modules M̃(̇c, h) is completely determined.

源语言	英语
页（从-至）	61-69
页数	9
期刊	Journal of Pure and Applied Algebra
卷	177
期	1
DOI	https://doi.org/10.1016/S0022-4049(02)00173-1
出版状态	已出版 - 8 1月 2003

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Hu, J., Wang, X. D., & Zhao, K. M. (2003). Verma modules over generalized Virasoro algebras Vir[G]. Journal of Pure and Applied Algebra, 177(1), 61-69. https://doi.org/10.1016/S0022-4049(02)00173-1

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title = "Verma modules over generalized Virasoro algebras Vir[G]",

abstract = "Let F be a field of characteristic 0, not necessarily algebraically closed, and G be an additive subgroup of F. For any total order on G which is compatible with the group addition, and for any c, h ε F, a Verma module {\~M}(c, h) over the generalized Virasoro algebra Vir[G] is defined. In the present paper, the irreducibility of Verma modules {\~M}{\.(}c, h) is completely determined.",

author = "Jun Hu and Wang, {Xian Dong} and Zhao, {Kai Ming}",

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AU - Hu, Jun

AU - Wang, Xian Dong

AU - Zhao, Kai Ming

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N2 - Let F be a field of characteristic 0, not necessarily algebraically closed, and G be an additive subgroup of F. For any total order on G which is compatible with the group addition, and for any c, h ε F, a Verma module M̃(c, h) over the generalized Virasoro algebra Vir[G] is defined. In the present paper, the irreducibility of Verma modules M̃(̇c, h) is completely determined.

AB - Let F be a field of characteristic 0, not necessarily algebraically closed, and G be an additive subgroup of F. For any total order on G which is compatible with the group addition, and for any c, h ε F, a Verma module M̃(c, h) over the generalized Virasoro algebra Vir[G] is defined. In the present paper, the irreducibility of Verma modules M̃(̇c, h) is completely determined.

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ER -

Verma modules over generalized Virasoro algebras Vir[G]

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