Classification of integrable representations for toroidal extended affine Lie algebras

2018/03/04 by Fulin Chen, Zhiqiang Li, Chen, Fulin +3
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.1803.01324

openalex publication_date 2018/03/04 · openalex created_date 2018/03/29 · openalex updated_date 2026/07/28

Abstract

In this paper, we classify the irreducible integrable modules with finite dimensional weight spaces and non-trivial \widetilde\mathfrak g_c-action for the nullity 2 toroidal extended affine Lie algebra \widetilde\mathfrak g, where \widetilde\mathfrak g_c is the core of \widetilde\mathfrak g.

Related

• Integrable representations for toroidal extended affine Lie algebras
• Classification of irreducible integrable modules for extended affine Lie algebras with center acting trivially
• Irreducible Integrable Representations of Toroidal Lie Algebras
• Classification of irreducible integrable representations of loop\n toroidal Lie algebras
• Integrable Modules of Map full Toroidal Lie Algebras