Classification of irreducible weight modules over the twisted Heisenberg-Virasoro algebra

Details Classification of irreducible weight modules over the twisted Heisenberg-Virasoro algebra Classification of irreducible weight modules over the twisted Heisenberg-Virasoro algebra

2005-10-10

arxiv.org/abs/math/0510194v1

Communications in Contemporary Mathematics, Vol.12, No.2, 183-205(2010)

Mathematics

Representation Theory

23 pages

Scientific paper

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 weight spaces are all 1-dimensional; the other class
consists of the irreducible highest weight modules and lowest weight modules.

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