Integrable Representations for the Extended Affine Lie Algebra Coordinated by Quantum Tori in Two Variables

DOI10.1142/S1005386714000480zbMath1330.17030WikidataQ115244742 ScholiaQ115244742MaRDI QIDQ3191859

Qing Wang, Fei Kong, Shaobin Tan, Zhi-Qiang Li

Publication date: 25 September 2014

Published in: Algebra Colloquium (Search for Journal in Brave)

zbMATH Keywords

integrable modulesquantum torusextended affine Lie algebras (EALA)

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)

Cites Work

• On certain categories of modules for affine Lie algebras
• Integrable representations of affine Lie-algebras
• New unitary representations of loop groups
• Integrable representations of twisted affine Lie algebras
• Classification and construction of quasisimple Lie algebras
• Classification of irreducible integrable modules for toroidal Lie algebras with finite dimensional weight spaces
• A class of integrable modules for the core of EALA coordinatized by quantum tori
• Quantum tori and the structure of elliptic quasi-simple Lie algebras
• A New Class of Representations of EALA Coordinated by Quantum Tori in Two Variables
• Classification of irreducible integrable modules for multi-loop algebras with finite-dimensional weight spaces