UNITARY REPRESENTATIONS FOR THE SCHRÖDINGER–VIRASORO LIE ALGEBRA-Reference-Cited by-同舟云学术

UNITARY REPRESENTATIONS FOR THE SCHRÖDINGER–VIRASORO LIE ALGEBRA

Published:2012-12-13 Issue:01 Volume:12 Page:1250132
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

ZHANG XIUFU¹²,TAN SHAOBIN¹

Affiliation:

1. School of Mathematical Sciences, Xiamen University, Xiamen 361005, P. R. China

2. School of Mathematical Sciences, Xuzhou Normal University, Xuzhou 221116, P. R. China

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498812501320

Reference21 articles.

1. Conformal Invariance, Unitarity and Two Dimensional Critical Exponents

2. Details of the non-unitarity proof for highest weight representations of the Virasoro algebra

3. Structure of the Extended Schrödinger–Virasoro Lie Algebra $\widetilde{\mathfrak{sv}}$

4. Virasoro algebras and coset space models

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