Journal
ISRAEL JOURNAL OF MATHEMATICS
Volume 204, Issue 1, Pages 447-468Publisher
HEBREW UNIV MAGNES PRESS
DOI: 10.1007/s11856-014-1114-z
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Funding
- NSF of China [11301143, 11101380]
- Henan University Scientific Research Funds [2012YBZR031]
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In this paper, we give a complete classification of irreducible Harish-Chandra modules for any generalized Heisenberg-Virasoro algebra. In particular, we present a simpler and more conceptual proof of the classification of irreducible Harish-Chandra modules over the classical Heisenberg-Virasoro algebra, which was first obtained by Rencai Lu and Kaiming Zhao in [LZ1]. Our methods are based on the ideas of polynomial modules from [B1, BB].
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