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On Integrable Modules for the Twisted Full Toroidal Lie Algebra | Synapse

March 29, 2026Open Access

On Integrable Modules for the Twisted Full Toroidal Lie Algebra

Key Points

The aim is to classify irreducible integrable modules for twisted full toroidal Lie algebras under specific conditions.
Classification of modules based on algebraic structures
Application of finite order automorphisms
Analysis of extensions of multiloop algebras
Classification shows the structure of irreducible integrable modules
Generalizes previous results by Fu Jiayuan and Cuipo Jiang
Identifies conditions necessary for integrability in new contexts

Abstract

The paper is to classify irreducible integrable modules for twisted full toroidal Lie algebras with some technical conditions.Twisted full toroidal Lie algebras are extensions of multiloop algebras twisted by several finite order automorphisms.This result genaralizes a result by Fu Jiayuan and Cuipo Jiang (Integrable representations for the twisted full toroidal Lie algebra, Journal of Algebra 307 (

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Cite This Study

Batra et al. (Mon,) studied this question.

synapsesocial.com/papers/69c8c195de0f0f753b39be3d https://doi.org/https://doi.org/10.5802/jolt.995