Whittaker modules over Virasoro-like algebra

In this paper, we study Whittaker modules over Virasoro-like algebra relative to some total order. We determine all Whittaker vectors and the irreducibilities of the universal Whittaker modules. For the reducible ones, we determine their unique maximal submodules, and the corresponding irreducible q...

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Bibliographic Details
Published in:Journal of mathematical physics 2011-09, Vol.52 (9), p.093504-093504-9
Main Authors: Guo, Xiangqian, Liu, Xuewen
Format: Article
Language:English
Subjects:
Algebra
Exact sciences and technology
Lie groups
Mathematical methods in physics
Mathematics
Physics
Sciences and techniques of general use
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Summary:In this paper, we study Whittaker modules over Virasoro-like algebra relative to some total order. We determine all Whittaker vectors and the irreducibilities of the universal Whittaker modules. For the reducible ones, we determine their unique maximal submodules, and the corresponding irreducible quotient modules are just those modules constructed by Batra et al. [J. Algebra 322(12), 4163–4180 (2009)]. Using their results we can deduce more properties on the maximal submodules and irreducible modules.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.3641245