Journal
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS
Volume 12, Issue 2, Pages 183-205Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0219199710003786
Keywords
Virasoro algebra; twisted Heisenberg-Virasoro algebra; weight module
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Funding
- NSERC
- NSF of China [10601057, 10871192]
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In this paper, all irreducible weight modules with finite dimensional weight spaces over the twisted Heisenberg-Virasoro algebra are determined. There are two different classes of them. One class is formed by simple modules of intermediate series, whose nonzero weight spaces are all 1-dimensional; the other class consists of the irreducible highest weight modules and lowest weight modules.
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