A class of non-weight modules over the Schrödinger-Virasoro algebras

2018/09/14 by Yumei Wang, Honglian Zhang, Wang, Yumei +1 · 1 citation
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1809.05236

openalex publication_date 2018/09/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We construct and classify the free U(ℂL₀⊕ ℂM₀⊕ℂY₀)-modules of rank 1 over the Schrödinger-Virasoro algebra \mathfraksv(s) for s=0.Moreover, we show that the class of free U(ℂL₀⊕ℂM₀)-modules of rank 1 over the Schrödinger-Virasoro algebra \mathfraksv(s) for s=(1)/(2) is nonexistent.

Citations

• Module structure on U(\mathfrakh) for Kac-Moody algebras

Cited by

• A family of simple non-weight modules over the twisted N=2 superconformal algebra

Related

• Non-weight modules over a Schrödinger-Virasoro type algebra
• Non-weight modules over generalized Heisenberg-Virasoro algebra of rank two
• Non-weight modules over gap-p Virasoro algebras
• Representations of the N=1 Heisenberg-Virasoro superalgebra
• Non-weight modules over the mirror Heisenberg-Virasoro algebra