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Unitary representations for the schr?dinger-virasoro lie algebra

机译:薛定ding-维拉索罗李代数的表示

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摘要

In this paper, conjugate-linear anti-involutions and unitary Harish-Chandra modules over the Schr?dinger-Virasoro algebra are studied. It is proved that there are only two classes conjugate-linear anti-involutions over the Schr?dinger-Virasoro algebra. The main result of this paper is that a unitary Harish-Chandra module over the Schr?dinger-Virasoro algebra is simply a unitary Harish-Chandra module over the Virasoro algebra.
机译:本文研究了Schr?dinger-Virasoro代数上的共轭线性反对合和unit Harish-Chandra模。证明在Schrdinger-Virasoro代数上只有两类共轭线性反对合。本文的主要结果是,薛定er-维拉索罗代数上的unitHarish-Chandra模只是维拉索罗代数上的HarHarish-Chandra模。

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