Integrable modules for loop affine-Virasoro algebra

2020/05/17 by S. Eswara Rao, Rao, S Eswara, Sachin S. Sharma +3 · 2 citations
Mathematics · Physics and Astronomy · #17B66 #17B67 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2005.08175

openalex publication_date 2020/05/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we classify the irreducible integrable modules for the loop affine-Virasoro algebra (( \overset∘\mathfrakg ⊗ ℂ[t, t^-1] ⊕ ℂ K) \rtimes Vir) ⊗ A, where A is a finitely generated commutative associative algebra with unity.

Cited by

• Uniformly bounded weight modules for Map extended Special and Map extended Hamiltonian Lie algebras
• Classification of irreducible Harish-Chandra modules over map full toroidal Lie algebras

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