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Classification of irreducible weight modules over higher rank Virasoro algebras | | Rencai Lu
; Kaiming Zhao
; | | Date: |
14 Aug 2003 | | Subject: | Representation Theory MSC-class: 17B10, 17B65, 17B68 | math.RT | | Abstract: | Let $G$ be a rank $n$ additive subgroup of $C$ and $Vir[G]$ the corresponding Virasoro algebra of rank $n$. In the present paper, irreducible weight modules with finite dimensional weight spaces over $Vir[G]$ are completely determined. There are two different classes of them. One class consists of simple modules of intermediate series whose weight spaces are all 1-dimensional. The other is constructed by using intermediate series modules over a Virasoro subalgebra of rank $n-1$. The classification of such modules over the classical Virasoro algebra was obtained by O. Mathieu in 1992 using a completely different approach. | | Source: | arXiv, math.RT/0308133 | | Services: | Forum | Review | PDF | Favorites | |
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