2023/04/16 by Santanu Tantubay, Tantubay, Santanu, Priyanshu Chakraborty +3
Mathematics · Physics and Astronomy · #17b65 #17b67 #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Representation Theory (math.RT)
paper · pdf · doi:10.48550/arxiv.2304.07749
openalex publication_date 2023/04/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we consider the twisted Hamiltonian extended affine Lie algebra (THEALA). We classify the irreducible integrable modules for these Lie algebras with finite-dimensional weight spaces when the finite-dimensional center acts non-trivially. This Lie algebra has a triangular decomposition, which is different from the natural triangular decomposition of twisted full toroidal Lie algebra. Any irreducible integrable module of it is the highest weight module with respect to the given triangular decomposition. In this paper, we describe the highest-weight space in detail.