Unitary Modules for the Twisted Heisenberg–Virasoro Algebra-Reference-Cited by-同舟云学术

Unitary Modules for the Twisted Heisenberg–Virasoro Algebra

Published:2019-08-12 Issue:03 Volume:26 Page:529-540
ISSN:1005-3867
Container-title:Algebra Colloquium
language:en
Short-container-title:Algebra Colloq.

Author:

Zhang Xiufu¹,Tan Shaobin²,Lian Haifeng³

Affiliation:

1. School of Mathematics and Statistics, Jiangsu Normal University, Xuzhou, Jiangsu 221116, China

2. School of Mathematical Sciences, Xiamen University, Xiamen, Fujian 361005, China

3. School of Computer and Information, Fujian Agriculture and Forestry University, Fuzhou 350002, China

Abstract

The conjugate-linear anti-involutions and unitary irreducible modules of the intermediate series over the twisted Heisenberg–Virasoro algebra are classified, respectively. We prove that any unitary irreducible module of the intermediate series over the twisted Heisenberg–Virasoro algebra is of the form [Formula: see text] for [Formula: see text], [Formula: see text] and [Formula: see text].

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1005386719000397

Reference18 articles.

1. Moduli spaces of curves and representation theory

2. Representations of the Twisted Heisenberg–Virasoro Algebra at Level Zero

3. Irreducible representations of Virasoro-toroidal Lie algebras

4. Representations of Virasoro-Heisenberg Algebras and Virasoro-Toroidal Algebras

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