2020/02/07 by S. Eswara Rao, Rao, S. Eswara
Mathematics · #17B65 #17B67 #17B70 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.2002.02646
openalex publication_date 2020/02/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we study modules for the Twisted Full Toroidal Lie Algebras\n(TFTLA). We define a category of bounded modules for TFTLA and classify all the\nirreducible modules in that category. A class of irreducible bounded modules\nare explicitly constructed by Michael Lau and Yuly Billig using Vertex operator\nalgebras. We show that they exhaust all the irreducible bounded modules. Our\nplan is to describe the top spaces of the bounded irreducible modules for TFTLA\nand prove they in fact coincide with the top spaces of the modules constructed\nby Lau and Billig. When the top spaces become isomorphic then the corresponding\nirreducible modules are also isomorphic.\n