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

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

27 Citations (Scopus)

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 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.

Original language	English
Pages (from-to)	61-69
Number of pages	9
Journal	Journal of Pure and Applied Algebra
Volume	177
Issue number	1
DOIs	https://doi.org/10.1016/S0022-4049(02)00173-1
Publication status	Published - 8 Jan 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.",

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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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U2 - 10.1016/S0022-4049(02)00173-1

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Verma modules over generalized Virasoro algebras Vir[G]

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