Unitary representations for the Schrödinger-Virasoro Lie algebra

2012/01/06 by Xiufu Zhang, Zhang, Xiufu, Shaobin Tan +1
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Rings and Algebras (math.RA) #math.RA

paper · pdf · doi:10.48550/arxiv.1201.1342

arxiv created 2012/01/06 · openalex publication_date 2012/01/06 · arxiv updated 2012/01/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

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