2020/05/15 by Souvik Pal, Pal, Souvik
Mathematics · Medicine · Physics and Astronomy · #17B65 #17B67(Primary) #17B70(Secondary) #Algebraic structures and combinatorial models #FOS: Mathematics #Neurosurgical Procedures and Complications #Nonlinear Waves and Solitons #Representation Theory (math.RT) #math.RT #msc:17B65
paper · pdf · doi:10.48550/arxiv.2005.07381
A small section have been added
openalex publication_date 2020/05/15 · arxiv created 2021/01/12 · arxiv updated 2021/01/13 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28
An important problem in the representation theory of affine and toroidal Lie algebras is to classify all possible irreducible integrable modules with finite dimensional weight spaces. Recently the irreducible integrable modules having finite dimensional weight spaces with non-trivial central action have been classified for a more general class of Lie algebras, namely the graded Lie tori. In this paper, we classify all the irreducible integrable modules with finite dimensional weight spaces for this graded Lie tori where the central elements act trivially. Thus we ultimately obtain all the simple objects in the category of integrable modules with finite dimensional weight spaces for the graded Lie tori.