15 citations · 21 across the 8 of their papers we have counts for
5 papers · 1 filter
Tensor product weight representations of the Neveu-Schwarz algebra
Xiufu Zhang
In this paper, the tensor product of highest weight modules with intermediate series modules over the Neveu-Schwarz algebra is studied. The weight spaces of such tensor products ar…
Unitary representations for the Schrödinger-Virasoro Lie algebra
Xiufu Zhang, Shaobin Tan
In this paper, conjugate-linear anti-involutions and unitary Harish-Chandra modules over the Schrödinger-Virasoro algebra are studied. It is proved that there are only two classes…
Unitary modules for the twisted Heisenberg-Virasoro algebra
Xiufu Zhang, Shaobin Tan
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 resp…
Classification of simple weight modules for the Neveu-Schwarz algebra with a finite-dimensional weight space
Xiufu Zhang, Zhangsheng Xia
We show that the support of a simple weight module over the Neveu-Schwarz algebra, which has an infinite-dimensional weight space, coincides with the weight lattice and that all no…
Whittaker modules for the Schrödinger-Virasoro algebra
Xiufu Zhang, Shaobin Tan
In this paper, Whittaker modules for the Schrödinger-Virasoro algebra are defined. The Whittaker vectors and the irreducibility of the Whittaker modules are studied…