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arXiv · 1201.1342

Unitary representations for the Schrödinger-Virasoro Lie algebra

Xiufu Zhang·Shaobin Tan
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Abstract

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 conjugate-linear anti-involutions over the Schrödinger-Virasoro algebra. The main result of this paper is that a unitary Harish-Chandra module over the Schrödinger-Virasoro algebra is simply a unitary Harish-Chandra module over the Virasoro algebra.

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Xiufu Zhang, Shaobin Tan. 2012-01-06. Unitary representations for the Schrödinger-Virasoro Lie algebra. https://arxiv.org/abs/1201.1342

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