Extensions of finite irreducible modules of Lie conformal algebras W(a,b) and some Schrödinger-Virasoro type Lie conformal algebras

2019/07/04 by Lipeng Luo, Yanyong Hong, Luo, Lipeng +3
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT) #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1907.02340

openalex publication_date 2019/07/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Lie conformal algebras W(a,b) are the semi-direct sums of Virasoro Lie conformal algebra and its nontrivial conformal modules of rank one. In this paper, we give a complete classification of extensions of finite irreducible conformal modules of W(a,b). With a similar method, we characterize all extensions of finite irreducible conformal modules of Schrödinger-Virasoro type Lie conformal algebras TSV(a,b) and TSV(c).

Citations

• Loop Schrödinger-Virasoro Lie conformal algebra

Related

• Finite irreducible modules of Lie conformal algebras W(a,b) and some Schrödinger-Virasoro type Lie conformal algebras
• On Schrödinger-Virasoro type Lie conformal algebras
• Extensions of conformal modules
• Extensions of finite irreducible modules over rank two Lie conformal algebra
• Classification of finite irreducible conformal modules over a class of Lie conformal algebras of Block type