Integrable representations of toroidal Lie algebras co-ordinatized by rational quantum tori

DOI10.1016/j.jalgebra.2012.04.003zbMath1300.17019OpenAlexW2062120102WikidataQ115351111 ScholiaQ115351111MaRDI QIDQ1931693

Kaiming Zhao, Senapathi Eswara Rao

Publication date: 15 January 2013

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2012.04.003

zbMATH Keywords

irreducible representationtoroidal Lie algebraweight spaceintegrable representationrational quantum torus

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)

Related Items (5)

Irreducible integrable modules for the full toroidal Lie algebras coordinated by rational quantum torus ⋮ Integrable modules for Lie tori ⋮ Irreducible modules for the loop of derivations of rational quantum torus ⋮ Vertex algebras and extended affine Lie algebras coordinated by rational quantum tori ⋮ Localization of highest weight modules of a class of extended affine Lie algebras

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