Unitary representations for the Schrödinger-Virasoro Lie algebra

Details Unitary representations for the Schrödinger-Virasoro Lie algebra Unitary representations for the Schrödinger-Virasoro Lie algebra

2012-01-06

arxiv.org/abs/1201.1342v1

Mathematics

Rings and Algebras

Scientific paper

In this paper, conjugate-linear anti-involutions and unitary Harish-Chandra modules over the Schr\"{o}dinger-Virasoro algebra are studied. It is proved that there are only two classes conjugate-linear anti-involutions over the Schr\"{o}dinger-Virasoro algebra. The main result of this paper is that a unitary Harish-Chandra module over the Schr\"{o}dinger-Virasoro algebra is simply a unitary Harish-Chandra module over the Virasoro algebra.

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