Some categories of modules for toroidal Lie algebras

DOI10.1016/j.jalgebra.2013.11.022zbMath1362.17051arXiv1309.1530OpenAlexW2053818758WikidataQ115350951 ScholiaQ115350951MaRDI QIDQ397977

Hongyan Guo, Shaobin Tan, Qing Wang

Publication date: 12 August 2014

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

Full work available at URL: https://arxiv.org/abs/1309.1530

zbMATH Keywords

toroidal Lie algebrascategories of modulesevaluation modulesirreducible integrable modulesrestricted \(\tau\)-modules: tensor product modules

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) Special categories (18B99)

Cites Work

• Unnamed Item
• On certain categories of modules for affine Lie algebras
• Integrable representations of affine Lie-algebras
• A new family of irreducible, integrable modules for affine Lie algebras
• Regularity of rational vertex operator algebras
• Introduction to vertex operator algebras and their representations
• Classification of irreducible integrable modules for toroidal Lie algebras with finite dimensional weight spaces
• Toroidal vertex algebras and their modules

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