Classification of irreducible integrable representations of loop\n toroidal Lie algebras

2020/07/13 by Priyanshu Chakraborty, Chakraborty, Priyanshu, Punita Batra +1 · 1 citation
Mathematics · Physics and Astronomy · #17B65 #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.2007.06415

openalex publication_date 2020/07/13 · openalex created_date 2022/11/14 · openalex updated_date 2026/07/28

Abstract

In this paper we classify irreducible integrable representations of loop\ntoroidal Lie algebras with finite dimensional weight spaces. In both the cases\nwe classify modules, when a part of center acts non-trivially and trivially on\nmodules.\n

Cited by

• Uniformly bounded weight modules for Map extended Special and Map extended Hamiltonian Lie algebras

Related

• Irreducible Integrable Representations of Toroidal Lie Algebras
• Irreducible representations for Toroidal Lie algebras
• Classification of Irreducible integrable modules for toroidal Lie-algebras with finite dimensional weight spaces
• Integrable Modules of Map full Toroidal Lie Algebras
• Classification of integrable representations for toroidal extended affine Lie algebras