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Unitary modules for the twisted Heisenberg-Virasoro algebra

2012/01/06 by Xiufu Zhang, Zhang, Xiufu, Shaobin Tan +1
Mathematics · #FOS: Mathematics #Rings and Algebras (math.RA) #math.RA

paper · pdf · doi:10.48550/arxiv.1201.1338

arxiv created 2012/01/06 · arxiv updated 2012/01/09

Abstract

In this paper, the conjugate-linear anti-involutions and the unitary irreducible modules of the intermediate series over the twisted Heisenberg-Virasoro algebra are classified respectively. We prove that any unitary irreducible module of the intermediate series over the twisted Heisenberg-Virasoro algebra is of the form Aa,b,c for a∈ ℝ, b∈ 1/2+√(-1)ℝ, c∈ ℂ.

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