Classification of Harish-Chandra modules over some Lie algebras related to the Virasoro algebra

2010/11/15 by Dong Liu, Liu, Dong · 1 citation
Mathematics · Physics and Astronomy · #17B10 #17B65 #17B68 #17B70 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1011.3438

openalex publication_date 2010/11/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper, we provide a uniform method to thoroughly classify all Harish-Chandra modules over some Lie algebras related to the Virasoro algebras. We first classify such modules over the Lie algebra W(\varrho)[s] for s=0,\frac12. With this result and method, we can also do such works for some Lie algebras and superconformal algebras related to the Virasoro algebra, including the several kinds of Schrödinger-Virasoro Lie algebras, which are open up to now.

Cited by

• (d,σ)-twisted Affine-Virasoro superalgebras

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